313882344 has 64 divisors (see below), whose sum is σ = 878342400. Its totient is φ = 103853952.

The previous prime is 313882321. The next prime is 313882351. The reversal of 313882344 is 443288313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313882299 and 313882308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24289 + ... + 34895.

It is an arithmetic number, because the mean of its divisors is an integer number (13724100).

Almost surely, 2^313882344 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 313882344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439171200).

313882344 is an abundant number, since it is smaller than the sum of its proper divisors (564460056).

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

313882344 is a wasteful number, since it uses less digits than its factorization.

313882344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10749 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 313882344 is about 17716.7249795215. The cubic root of 313882344 is about 679.6035347502.

The spelling of 313882344 in words is "three hundred thirteen million, eight hundred eighty-two thousand, three hundred forty-four".