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312690912 = 25314472251
BaseRepresentation
bin10010101000110…
…100100011100000
3210210101100021220
4102220310203200
51120022102122
651010015040
710514554212
oct2250644340
9723340256
10312690912
11150562346
1288877480
134ca22411
142d7585b2
151c6b925c
hex12a348e0

312690912 has 48 divisors (see below), whose sum is σ = 821745792. Its totient is φ = 104112000.

The previous prime is 312690881. The next prime is 312690913. The reversal of 312690912 is 219096213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312690913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137787 + ... + 140037.

It is an arithmetic number, because the mean of its divisors is an integer number (17119704).

Almost surely, 2312690912 is an apocalyptic number.

312690912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312690912 is an abundant number, since it is smaller than the sum of its proper divisors (509054880).

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

312690912 is a wasteful number, since it uses less digits than its factorization.

312690912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 312690912 is about 17683.0685119976. The cubic root of 312690912 is about 678.7425666561.

The spelling of 312690912 in words is "three hundred twelve million, six hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1447 2251 2894 4341 4502 5788 6753 8682 9004 11576 13506 17364 18008 23152 27012 34728 36016 46304 54024 69456 72032 108048 138912 216096 3257197 6514394 9771591 13028788 19543182 26057576 39086364 52115152 78172728 104230304 156345456 312690912