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31364704 = 257283241
BaseRepresentation
bin111011110100…
…1011001100000
32012000111021201
41313221121200
531012132304
63040130544
7530411200
oct167513140
965014251
1031364704
1116782848
12a606a54
1366621c7
144246400
152b483a4
hex1de9660

31364704 has 72 divisors (see below), whose sum is σ = 72997848. Its totient is φ = 13224960.

The previous prime is 31364701. The next prime is 31364717. The reversal of 31364704 is 40746313.

It is a Harshad number since it is a multiple of its sum of digits (28).

31364704 is a modest number, since divided by 4704 gives 3136 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31364701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130024 + ... + 130264.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859).

Almost surely, 231364704 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 31364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36498924).

31364704 is an abundant number, since it is smaller than the sum of its proper divisors (41633144).

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

31364704 is a wasteful number, since it uses less digits than its factorization.

31364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 31364704 is about 5600.4199842512. The cubic root of 31364704 is about 315.3651732062.

The spelling of 31364704 in words is "thirty-one million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 83 98 112 166 196 224 241 332 392 482 581 664 784 964 1162 1328 1568 1687 1928 2324 2656 3374 3856 4067 4648 6748 7712 8134 9296 11809 13496 16268 18592 20003 23618 26992 32536 40006 47236 53984 65072 80012 94472 130144 140021 160024 188944 280042 320048 377888 560084 640096 980147 1120168 1960294 2240336 3920588 4480672 7841176 15682352 31364704