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312383664 = 24322169331
BaseRepresentation
bin10010100111101…
…001100010110000
3210202210201211100
4102213221202300
51114432234124
650555244400
710512134355
oct2247514260
9722721740
10312383664
1115037251a
1288749700
134c945608
142d6b862c
151c6581c9
hex129e98b0

312383664 has 30 divisors (see below), whose sum is σ = 874240796. Its totient is φ = 104127840.

The previous prime is 312383657. The next prime is 312383671. The reversal of 312383664 is 466383213.

312383664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312383657) and next prime (312383671).

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

It is a nude number because it is divisible by every one of its digits.

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, 1084522 + ... + 1084809.

Almost surely, 2312383664 is an apocalyptic number.

It is an amenable number.

312383664 is an abundant number, since it is smaller than the sum of its proper divisors (561857132).

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

312383664 is a wasteful number, since it uses less digits than its factorization.

312383664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169345 (or 2169336 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 312383664 is about 17674.3787443859. The cubic root of 312383664 is about 678.5201845001.

The spelling of 312383664 in words is "three hundred twelve million, three hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2169331 4338662 6507993 8677324 13015986 17354648 19523979 26031972 34709296 39047958 52063944 78095916 104127888 156191832 312383664