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331349856 = 253171911063
BaseRepresentation
bin10011101111111…
…111111101100000
3212002111022112220
4103233333331200
51134311143411
652513551040
711132266365
oct2357777540
9762438486
10331349856
11160047062
1292b75480
1353856306
143201446c
151e152b06
hex13bfff60

331349856 has 96 divisors (see below), whose sum is σ = 926650368. Its totient is φ = 103311360.

The previous prime is 331349833. The next prime is 331349881. The reversal of 331349856 is 658943133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311181 + ... + 312243.

It is an arithmetic number, because the mean of its divisors is an integer number (9652608).

Almost surely, 2331349856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463325184).

331349856 is an abundant number, since it is smaller than the sum of its proper divisors (595300512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331349856 is a wasteful number, since it uses less digits than its factorization.

331349856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1276 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 331349856 is about 18203.0177717872. The cubic root of 331349856 is about 691.9832711160.

The spelling of 331349856 in words is "three hundred thirty-one million, three hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 191 204 272 382 408 544 573 764 816 1063 1146 1528 1632 2126 2292 3056 3189 3247 4252 4584 6112 6378 6494 8504 9168 9741 12756 12988 17008 18071 18336 19482 25512 25976 34016 36142 38964 51024 51952 54213 72284 77928 102048 103904 108426 144568 155856 203033 216852 289136 311712 406066 433704 578272 609099 812132 867408 1218198 1624264 1734816 2436396 3248528 3451561 4872792 6497056 6903122 9745584 10354683 13806244 19491168 20709366 27612488 41418732 55224976 82837464 110449952 165674928 331349856