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312371904 = 26313125149
BaseRepresentation
bin10010100111100…
…110101011000000
3210202210010200210
4102213212223000
51114431400104
650555114120
710512055155
oct2247465300
9722703623
10312371904
111503646a9
1288742940
134c940160
142d6b422c
151c654989
hex129e6ac0

312371904 has 56 divisors (see below), whose sum is σ = 890066800. Its totient is φ = 96113664.

The previous prime is 312371893. The next prime is 312371921. The reversal of 312371904 is 409173213.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 60079 + ... + 65070.

It is an arithmetic number, because the mean of its divisors is an integer number (15894050).

Almost surely, 2312371904 is an apocalyptic number.

It is an amenable number.

312371904 is an abundant number, since it is smaller than the sum of its proper divisors (577694896).

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

312371904 is a wasteful number, since it uses less digits than its factorization.

312371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125177 (or 125167 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 312371904 is about 17674.0460562940. The cubic root of 312371904 is about 678.5116698664.

The spelling of 312371904 in words is "three hundred twelve million, three hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 125149 250298 375447 500596 750894 1001192 1501788 1626937 2002384 3003576 3253874 4004768 4880811 6007152 6507748 8009536 9761622 12014304 13015496 19523244 24028608 26030992 39046488 52061984 78092976 104123968 156185952 312371904