312844064 has 96 divisors (see below), whose sum is σ = 725469696. Its totient is φ = 131420160.

The previous prime is 312844043. The next prime is 312844073. The reversal of 312844064 is 460448213.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 312844064.

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 15 ways as a sum of consecutive naturals, for example, 218519 + ... + 219945.

It is an arithmetic number, because the mean of its divisors is an integer number (7556976).

Almost surely, 2^312844064 is an apocalyptic number.

312844064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312844064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362734848).

312844064 is an abundant number, since it is smaller than the sum of its proper divisors (412625632).

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

312844064 is a wasteful number, since it uses less digits than its factorization.

312844064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 312844064 is about 17687.3984520053. The cubic root of 312844064 is about 678.8533617053.

The spelling of 312844064 in words is "three hundred twelve million, eight hundred forty-four thousand, sixty-four".