313848416 has 96 divisors (see below), whose sum is σ = 727953408. Its totient is φ = 130429440.

The previous prime is 313848413. The next prime is 313848421. The reversal of 313848416 is 614848313.

313848416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 313848416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313848413) 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 15 ways as a sum of consecutive naturals, for example, 1407281 + ... + 1407503.

It is an arithmetic number, because the mean of its divisors is an integer number (7582848).

Almost surely, 2^313848416 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 313848416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363976704).

313848416 is an abundant number, since it is smaller than the sum of its proper divisors (414104992).

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

313848416 is a wasteful number, since it uses less digits than its factorization.

313848416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 313848416 is about 17715.7674403340. The cubic root of 313848416 is about 679.5790474224.

The spelling of 313848416 in words is "three hundred thirteen million, eight hundred forty-eight thousand, four hundred sixteen".