313048416 has 96 divisors (see below), whose sum is σ = 871492608. Its totient is φ = 98219520.

The previous prime is 313048409. The next prime is 313048451. The reversal of 313048416 is 614840313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 108691 + ... + 111533.

It is an arithmetic number, because the mean of its divisors is an integer number (9078048).

Almost surely, 2^313048416 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 313048416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435746304).

313048416 is an abundant number, since it is smaller than the sum of its proper divisors (558444192).

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

313048416 is a wasteful number, since it uses less digits than its factorization.

313048416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 313048416 is about 17693.1742771047. The cubic root of 313048416 is about 679.0011401714.

Adding to 313048416 its reverse (614840313), we get a palindrome (927888729).

The spelling of 313048416 in words is "three hundred thirteen million, forty-eight thousand, four hundred sixteen".