313319424 has 224 divisors, whose sum is σ = 975116160. Its totient is φ = 88473600.

The previous prime is 313319423. The next prime is 313319459. The reversal of 313319424 is 424913313.

It is a super-3 number, since 3×313319424³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (7776) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 313319391 and 313319400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313319423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5136354 + ... + 5136414.

Almost surely, 2^313319424 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 313319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487558080).

313319424 is an abundant number, since it is smaller than the sum of its proper divisors (661796736).

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

313319424 is a wasteful number, since it uses less digits than its factorization.

313319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 313319424 is about 17700.8311669255. The cubic root of 313319424 is about 679.1970221886.

It can be divided in two parts, 31331 and 9424, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 313319424 in words is "three hundred thirteen million, three hundred nineteen thousand, four hundred twenty-four".