312344256 has 112 divisors (see below), whose sum is σ = 948797696. Its totient is φ = 88833024.

The previous prime is 312344243. The next prime is 312344257. The reversal of 312344256 is 652443213.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (312344257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412230 + ... + 412986.

It is an arithmetic number, because the mean of its divisors is an integer number (8471408).

Almost surely, 2^312344256 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 312344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474398848).

312344256 is an abundant number, since it is smaller than the sum of its proper divisors (636453440).

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

312344256 is a wasteful number, since it uses less digits than its factorization.

312344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 312344256 is about 17673.2638751307. The cubic root of 312344256 is about 678.4916509467.

Adding to 312344256 its reverse (652443213), we get a palindrome (964787469).

The spelling of 312344256 in words is "three hundred twelve million, three hundred forty-four thousand, two hundred fifty-six".