311340400 has 120 divisors (see below), whose sum is σ = 860194944. Its totient is φ = 106080000.

The previous prime is 311340377. The next prime is 311340427. The reversal of 311340400 is 4043113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702579 + ... + 703021.

Almost surely, 2^311340400 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 311340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430097472).

311340400 is an abundant number, since it is smaller than the sum of its proper divisors (548854544).

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

311340400 is a wasteful number, since it uses less digits than its factorization.

311340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 311340400 is about 17644.8406056841. The cubic root of 311340400 is about 677.7639934689.

Adding to 311340400 its reverse (4043113), we get a palindrome (315383513).

It can be divided in two parts, 31 and 1340400, that added together give a palindrome (1340431).

The spelling of 311340400 in words is "three hundred eleven million, three hundred forty thousand, four hundred".