313634496 has 336 divisors, whose sum is σ = 1069518816. Its totient is φ = 80510976.

The previous prime is 313634491. The next prime is 313634521. The reversal of 313634496 is 694436313.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (313634491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5917606 + ... + 5917658.

Almost surely, 2^313634496 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 313634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534759408).

313634496 is an abundant number, since it is smaller than the sum of its proper divisors (755884320).

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

313634496 is a wasteful number, since it uses less digits than its factorization.

313634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 313634496 is about 17709.7288516792. The cubic root of 313634496 is about 679.4246113057.

The spelling of 313634496 in words is "three hundred thirteen million, six hundred thirty-four thousand, four hundred ninety-six".