313079416 has 96 divisors (see below), whose sum is σ = 691286400. Its totient is φ = 131984640.

The previous prime is 313079401. The next prime is 313079453. The reversal of 313079416 is 614970313.

313079416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163730 + ... + 1163998.

It is an arithmetic number, because the mean of its divisors is an integer number (7200900).

Almost surely, 2^313079416 is an apocalyptic number.

313079416 is the 11191-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313079416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345643200).

313079416 is an abundant number, since it is smaller than the sum of its proper divisors (378206984).

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

313079416 is a wasteful number, since it uses less digits than its factorization.

313079416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 313079416 is about 17694.0502994651. The cubic root of 313079416 is about 679.0235524028.

The spelling of 313079416 in words is "three hundred thirteen million, seventy-nine thousand, four hundred sixteen".