311142400 has 144 divisors (see below), whose sum is σ = 792136800. Its totient is φ = 121159680.

The previous prime is 311142371. The next prime is 311142407. The reversal of 311142400 is 4241113.

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

It is not an unprimeable number, because it can be changed into a prime (311142407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3020749 + ... + 3020851.

It is an arithmetic number, because the mean of its divisors is an integer number (5500950).

Almost surely, 2^311142400 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 311142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396068400).

311142400 is an abundant number, since it is smaller than the sum of its proper divisors (480994400).

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

311142400 is a wasteful number, since it uses less digits than its factorization.

311142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 311142400 is about 17639.2290080944. The cubic root of 311142400 is about 677.6202861003.

Adding to 311142400 its reverse (4241113), we get a palindrome (315383513).

The spelling of 311142400 in words is "three hundred eleven million, one hundred forty-two thousand, four hundred".