313334320 has 160 divisors (see below), whose sum is σ = 839321280. Its totient is φ = 107827200.

The previous prime is 313334311. The next prime is 313334381. The reversal of 313334320 is 23433313.

It is a junction number, because it is equal to n+sod(n) for n = 313334291 and 313334300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1995682 + ... + 1995838.

It is an arithmetic number, because the mean of its divisors is an integer number (5245758).

Almost surely, 2^313334320 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 313334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419660640).

313334320 is an abundant number, since it is smaller than the sum of its proper divisors (525986960).

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

313334320 is a wasteful number, since it uses less digits than its factorization.

313334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 313334320 is about 17701.2519331261. The cubic root of 313334320 is about 679.2077856010.

Adding to 313334320 its reverse (23433313), we get a palindrome (336767633).

It can be divided in two parts, 31333 and 4320, that added together give a palindrome (35653).

The spelling of 313334320 in words is "three hundred thirteen million, three hundred thirty-four thousand, three hundred twenty".