313813280 has 192 divisors, whose sum is σ = 854945280. Its totient is φ = 107827200.

The previous prime is 313813273. The next prime is 313813301. The reversal of 313813280 is 82318313.

313813280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3972281 + ... + 3972359.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^313813280 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 313813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

313813280 is an abundant number, since it is smaller than the sum of its proper divisors (541132000).

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

313813280 is a wasteful number, since it uses less digits than its factorization.

313813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 313813280 is about 17714.7757535906. The cubic root of 313813280 is about 679.5536863678.

The spelling of 313813280 in words is "three hundred thirteen million, eight hundred thirteen thousand, two hundred eighty".