311688256 has 56 divisors (see below), whose sum is σ = 680496480. Its totient is φ = 141637760.

The previous prime is 311688253. The next prime is 311688263. The reversal of 311688256 is 652886113.

It is not an unprimeable number, because it can be changed into a prime (311688253) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 83355 + ... + 87013.

Almost surely, 2^311688256 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 311688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340248240).

311688256 is an abundant number, since it is smaller than the sum of its proper divisors (368808224).

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

311688256 is an equidigital number, since it uses as much as digits as its factorization.

311688256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3672 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 311688256 is about 17654.6950129420. The cubic root of 311688256 is about 678.0163180637.

The spelling of 311688256 in words is "three hundred eleven million, six hundred eighty-eight thousand, two hundred fifty-six".