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31364256 = 2537114243
BaseRepresentation
bin111011110100…
…1010010100000
32012000110200010
41313221102200
531012124011
63040124520
7530406660
oct167512240
965013603
1031364256
1116782480
12a606740
136661c41
1442461a0
152b481a6
hex1de94a0

31364256 has 96 divisors (see below), whose sum is σ = 102670848. Its totient is φ = 8144640.

The previous prime is 31364251. The next prime is 31364257. The reversal of 31364256 is 65246313.

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

It is not an unprimeable number, because it can be changed into a prime (31364251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5271 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (1069488).

Almost surely, 231364256 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 31364256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51335424).

31364256 is an abundant number, since it is smaller than the sum of its proper divisors (71306592).

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

31364256 is a wasteful number, since it uses less digits than its factorization.

31364256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4266 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 31364256 is about 5600.3799871080. The cubic root of 31364256 is about 315.3636716854.

The spelling of 31364256 in words is "thirty-one million, three hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 4243 7392 8486 12729 16972 25458 29701 33944 46673 50916 59402 67888 89103 93346 101832 118804 135776 140019 178206 186692 203664 237608 280038 326711 356412 373384 407328 475216 560076 653422 712824 746768 950432 980133 1120152 1306844 1425648 1493536 1960266 2240304 2613688 2851296 3920532 4480608 5227376 7841064 10454752 15682128 31364256