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312725376 = 2732271463
BaseRepresentation
bin10010101000111…
…100111110000000
3210210110002120100
4102220330332000
51120024203001
651010442400
710515056535
oct2250747600
9723402510
10312725376
11150586227
1288893400
134ca35002
142d766d8c
151c6c4586
hex12a3cf80

312725376 has 48 divisors (see below), whose sum is σ = 899903160. Its totient is φ = 104241408.

The previous prime is 312725363. The next prime is 312725383. The reversal of 312725376 is 673527213.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312725376.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 134580 + ... + 136883.

Almost surely, 2312725376 is an apocalyptic number.

312725376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312725376 is an abundant number, since it is smaller than the sum of its proper divisors (587177784).

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

312725376 is a wasteful number, since it uses less digits than its factorization.

312725376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271483 (or 271468 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 312725376 is about 17684.0429766499. The cubic root of 312725376 is about 678.7675021687.

The spelling of 312725376 in words is "three hundred twelve million, seven hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 271463 542926 814389 1085852 1628778 2171704 2443167 3257556 4343408 4886334 6515112 8686816 9772668 13030224 17373632 19545336 26060448 34747264 39090672 52120896 78181344 104241792 156362688 312725376