313441344 has 84 divisors (see below), whose sum is σ = 903030960. Its totient is φ = 103944960.

The previous prime is 313441327. The next prime is 313441379. The reversal of 313441344 is 443144313.

313441344 is a `hidden beast` number, since 313 + 4 + 4 + 1 + 344 = 666.

It is a super-2 number, since 2×313441344² = 196490952257052672, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120247 + ... + 122825.

Almost surely, 2^313441344 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 313441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451515480).

313441344 is an abundant number, since it is smaller than the sum of its proper divisors (589589616).

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

313441344 is a wasteful number, since it uses less digits than its factorization.

313441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2795 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 313441344 is about 17704.2747380400. The cubic root of 313441344 is about 679.2851079738.

Adding to 313441344 its reverse (443144313), we get a palindrome (756585657).

The spelling of 313441344 in words is "three hundred thirteen million, four hundred forty-one thousand, three hundred forty-four".