313423344 has 240 divisors, whose sum is σ = 1004801760. Its totient is φ = 94618368.

The previous prime is 313423309. The next prime is 313423351. The reversal of 313423344 is 443324313.

313423344 is a `hidden beast` number, since 313 + 4 + 2 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (10368) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5913622 + ... + 5913674.

It is an arithmetic number, because the mean of its divisors is an integer number (4186674).

Almost surely, 2^313423344 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 313423344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502400880).

313423344 is an abundant number, since it is smaller than the sum of its proper divisors (691378416).

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

313423344 is an equidigital number, since it uses as much as digits as its factorization.

313423344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 313423344 is about 17703.7663789376. The cubic root of 313423344 is about 679.2721046201.

Adding to 313423344 its reverse (443324313), we get a palindrome (756747657).

The spelling of 313423344 in words is "three hundred thirteen million, four hundred twenty-three thousand, three hundred forty-four".