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312263240 = 23519933917
BaseRepresentation
bin10010100111001…
…100001001001000
3210202120121122012
4102213030021020
51114414410430
650552515052
710511123312
oct2247141110
9722517565
10312263240
1115029aaa3
12886aba88
134c902863
142d6867b2
151c632695
hex129cc248

312263240 has 32 divisors (see below), whose sum is σ = 703124280. Its totient is φ = 124810752.

The previous prime is 312263219. The next prime is 312263261. The reversal of 312263240 is 42362213.

It is an interprime number because it is at equal distance from previous prime (312263219) and next prime (312263261).

It can be written as a sum of positive squares in 4 ways, for example, as 302690404 + 9572836 = 17398^2 + 3094^2 .

It is an unprimeable number.

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, 77762 + ... + 81678.

Almost surely, 2312263240 is an apocalyptic number.

It is an amenable number.

312263240 is an abundant number, since it is smaller than the sum of its proper divisors (390861040).

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

312263240 is a wasteful number, since it uses less digits than its factorization.

312263240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 312263240 is about 17670.9716767358. The cubic root of 312263240 is about 678.4329833795.

The spelling of 312263240 in words is "three hundred twelve million, two hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1993 3917 3986 7834 7972 9965 15668 15944 19585 19930 31336 39170 39860 78340 79720 156680 7806581 15613162 31226324 39032905 62452648 78065810 156131620 312263240