311383040 has 88 divisors (see below), whose sum is σ = 759961032. Its totient is φ = 122388480.

The previous prime is 311383027. The next prime is 311383043. The reversal of 311383040 is 40383113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14992384 + 296390656 = 3872^2 + 17216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311382997 and 311383015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311383043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311822 + ... + 312818.

Almost surely, 2^311383040 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 311383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379980516).

311383040 is an abundant number, since it is smaller than the sum of its proper divisors (448577992).

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

311383040 is an equidigital number, since it uses as much as digits as its factorization.

311383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 311383040 is about 17646.0488495300. The cubic root of 311383040 is about 677.7949333848.

The spelling of 311383040 in words is "three hundred eleven million, three hundred eighty-three thousand, forty".