312842304 has 112 divisors (see below), whose sum is σ = 925372800. Its totient is φ = 103638528.

The previous prime is 312842287. The next prime is 312842311. The reversal of 312842304 is 403248213.

312842304 is a `hidden beast` number, since 312 + 8 + 42 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339957 + ... + 340875.

Almost surely, 2^312842304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462686400).

312842304 is an abundant number, since it is smaller than the sum of its proper divisors (612530496).

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

312842304 is a wasteful number, since it uses less digits than its factorization.

312842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 312842304 is about 17687.3486989995. The cubic root of 312842304 is about 678.8520886705.

The spelling of 312842304 in words is "three hundred twelve million, eight hundred forty-two thousand, three hundred four".