311040432 has 160 divisors (see below), whose sum is σ = 969312960. Its totient is φ = 95109120.

The previous prime is 311040413. The next prime is 311040451. The reversal of 311040432 is 234040113.

It is an interprime number because it is at equal distance from previous prime (311040413) and next prime (311040451).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300588 + ... + 301620.

It is an arithmetic number, because the mean of its divisors is an integer number (6058206).

Almost surely, 2^311040432 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 311040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484656480).

311040432 is an abundant number, since it is smaller than the sum of its proper divisors (658272528).

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

311040432 is a wasteful number, since it uses less digits than its factorization.

311040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 311040432 is about 17636.3383954833. The cubic root of 311040432 is about 677.5462544729.

Adding to 311040432 its reverse (234040113), we get a palindrome (545080545).

The spelling of 311040432 in words is "three hundred eleven million, forty thousand, four hundred thirty-two".