300 (number)
From Freepedia
Three hundred is the natural number following two hundred and ninety-nine and preceding three hundred one.
| |||
| Cardinal | Three hundred | ||
| Ordinal | 300th | ||
| Factorization | <math>2^2 \cdot 3 \cdot 5^2</math> | ||
| Roman numeral | CCC | ||
| Binary | 100101100 | ||
| Hexadecimal | 12C | ||
| Hebrew | ש (Shin) | ||
Mathematical properties
It is a triangular number and the sum of a twin prime (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is a Harshad number.
Other fields
Three hundred is
- In bowling, a perfect score, achieved by rolling strikes in all ten frames.
- The title of a comic book about the Battle of Thermopylae.
- The lowest possible credit score.
For the year, see 300.
Integers from 301 to 399
301 = 7·43, is the sum of consecutive primes (97 + 101 + 103).
Moreover, it is a happy number.
It's also HTTP status code indicating the content has been moved and the change is permanent. It's the area code for Maryland.
302 = 2·151, nontotient, also telephone area code for Delaware, also HTTP status code indicating the content has been moved
303 = 3·101, also telephone area code for parts of Colorado, also a proposed HTTP status code
304 = 2^4·19, sum of consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number, untouchable number, nontotient, also telephone area code for West Virginia, also HTTP code indicated the content has not been modified
305 = 5·61, also telephone area code for parts of Florida
306 = 2·3^2·17, sum of consecutive primes (71 + 73 + 79 + 83), pronic number, Harshad number, untouchable number, also telephone area code for Saskatchewan
307, prime number, Chen prime, also telephone area code for Wyoming
308 = 2^2·7·11, nontotient, Harshad number
309 = 3·103
310 = 2·5·31, sphenic number, noncototient, self number
311 has its own article.
312 = 2^3·3·13, Harshad number, self number
313, prime number, palindromic prime, centered square number, also telephone area code for Detroit, Michigan
314 = 2·157, nontotient
315 = 3^2·5·7, Harshad number
316 = 2^2·79, centered triangular number, centered heptagonal number
317, prime number, Eisenstein prime with no imaginary part, Chen prime, strictly non-palindromic number
318 = 2·3·53, sphenic number, nontotient
319 = 11·29, sum of consecutive primes (103 + 107 + 109), Smith number
320 = 2^6·5, Harshad number
321 = 3·107
322 = 2·7·23, sphenic number, nontotient, Harshad number, untouchable number
323 = 17·19, sum of consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Motzkin number, self number
324 = 2^2·3^4 = 18^2, sum of consecutive primes (73 + 79 + 83 + 89), Harshad number, untouchable number
325 = 5^2·13, triangular number, hexagonal number, nonagonal number, centered nonagonal number
326 = 2·163, nontotient, noncototient, untouchable number
327 = 3·109; this number appears in all Star Wars movies
328 = 2^3·41, sum of the first fifteen primes
329 = 7·47, sum of consecutive primes (107 + 109 + 113), highly cototient number
330 = 2·3·5·11, sum of consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number, Harshad number, divisible by the number of primes below it, also the number of dimples on a British golf ball
331, prime number, cuban prime, sum of consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number, centered hexagonal number, Mertens function returns 0
332 = 2^2·83, Mertens function returns 0
333 = 3^2·37, Mertens function returns 0, Harshad number
334 = 2·167, nontotient, self number
335 = 5·67, divisible by the number of primes below it
336 = 2^4·3·7, Harshad number, untouchable number, also the number of dimples on an American golf ball
337, prime number, permutable prime with 373 and 733, Chen prime, star number
338 = 2·13^2, nontotient
339 = 3·113
340 = 2^2·5·17, sum of consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first powers of 4 (4^1 + 4^2 + 4^3 + 4^4), divisible by the number of primes below it, nontotient, noncototient
341 = 11·31, sum of consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number, centered cube number, super-Poulet number
342 = 2·3^2·19, pronic number, Harshad number, untouchable number
343 = 7^3, nice Friedman number since 343 = (3 + 4)^3
344 = 2^3·43, octahedral number, noncototient
345 = 3·5·23, sphenic number, self number
346 = 2·173, Smith number, noncototient
347, prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, Friedman number since 347 = 7^3 + 4, strictly non-palindromic number
348 = 2^2·3·29, sum of consecutive primes (79 + 83 + 89 + 97)
349, prime number, sum of consecutive primes (109 + 113 + 127)
350 = 2·5^2·7, primitive semiperfect number, divisible by the number of primes below it, nontotient
351 = 3^3·13, triangular number, sum of consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence, Harshad number
352 = 2^5·11
The number of n-Queens Problem solutions for n = 9.
353, prime number, Eisenstein prime with no imaginary part, Chen prime, palindromic prime, Mertens function returns 0
354 = 2·3·59, sphenic number, nontotient, also SMTP code meaning start of mail input
355 = 5·71, Smith number, Mertens function returns 0, divisible by the number of primes below it
356 = 2^2·89, Mertens function returns 0, self number
357 = 3·7·17, sphenic number
358 = 2·179, sum of consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0
359, prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, strictly non-palindromic number
360 now has its own article.
361 = 19^2, centered triangular number, centered octagonal number, centered decagonal number, also the number of positions on a standard 19 x 19 Go board
362 = 2·181, Mertens function returns 0, nontotient, noncototient
363 = 3·11^2, sum of consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0
364 = 2^2·7·13, tetrahedral number, Mertens function returns 0, nontotient, Harshad number. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44). The total number of gifts received in the song "The Twelve Days of Christmas".
365 = 5·73 = 10^2 + 11^2 + 12^2 = 13^2 + 14^2, centered square number, the approximate number of solar days in a tropical year. Several varieties of calendar have resulted from attempts to divide the 29.5-day lunar month and traditional 7-day week into the 365.25 day year.
366 = 2·3·61, sphenic number, Mertens function returns 0, noncototient. Also, the number of days in a leap year; it's 26-gonal and 123-gonal.
367, prime number, self number, strictly non-palindromic number
368 = 2^4·23
369 is the magic constant of the 9×9 magic square; there are 369 free polyominoes of order 8.
370 = 2·5·37, sphenic number, sum of consecutive primes (83 + 89 + 97 + 101), nontotient, Harshad number
371 = 7·53, sum of consecutive primes (113 + 127 + 131), sum of consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67)
372 = 2^2·3·31, sum of consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient, untouchable number
373, prime number, permutable prime with 337 and 733, palindromic prime, sum of consecutive primes (67 + 71 + 73 + 79 + 83)
374 = 2·11·17, sphenic number, nontotient
375 = 3·5^3, Harshad number, also spur routes of Interstate 75
376 = 2^3·47, 1-automorphic number, nontotient
377 = 13·29, Fibonacci number, sum of the squares of the first primes
378 = 2·3^3·7, triangular number, hexagonal number, Smith number, Harshad number, self number
379, prime number, Chen prime
380 = 2^2·5·19, pronic number, also, model number of the Airbus A380, the largest airplane as of 2005
381 = 3·127, sum of the first sixteen primes. Palindrome in base 2 and base 8
382 = 2·191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number
383, prime number, safe prime, Woodall prime, Thabit number, Eisenstein prime with no imaginary part, palindromic prime
384 = 2^7·3, sum of a twin prime (191 + 193), sum of consecutive primes (53 + 59 + 61 + 67 + 71 + 73), double factorial of 8
385 = 5·7·11, sphenic number, square pyramidal number
386 = 2·193, nontotient, noncototient, nonagonal number, centered heptagonal number, also shorthand for the Intel 80386 microprocessor chip
387 = 3^2·43, also shorthand for the Intel 80387, math coprocessor chip to the 386
388 = 2^2·97
389, prime number, Eisenstein prime with no imaginary part, Chen prime, highly cototient number, self number, strictly non-palindromic number
390 = 2·3·5·13, sum of consecutive primes (89 + 97 + 101 + 103), nontotient
391 = 17·23, Smith number, centered pentagonal number
392 = 2^3·7^2, Harshad number
393 = 3·131, Mertens function returns 0
394 = 2·197, nontotient, noncototient
395 = 5·79, sum of consecutive primes (127 + 131 + 137), sum of consecutive primes (71 + 73 + 79 + 83 + 89)
396 = 2^2·3^2·11, sum of a twin prime (197 + 199), Harshad number
397, prime number, cuban prime, centered hexagonal number
398 = 2·199, nontotient
399 = 3·7·19, sphenic number, Harshad number
