313919424 has 336 divisors, whose sum is σ = 1138318272. Its totient is φ = 80510976.

The previous prime is 313919381. The next prime is 313919429. The reversal of 313919424 is 424919313.

313919424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313919429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2777992 + ... + 2778104.

It is an arithmetic number, because the mean of its divisors is an integer number (3387852).

Almost surely, 2^313919424 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 313919424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569159136).

313919424 is an abundant number, since it is smaller than the sum of its proper divisors (824398848).

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

313919424 is a wasteful number, since it uses less digits than its factorization.

313919424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 313919424 is about 17717.7714174215. The cubic root of 313919424 is about 679.6302949969.

The spelling of 313919424 in words is "three hundred thirteen million, nine hundred nineteen thousand, four hundred twenty-four".