313134336 has 90 divisors (see below), whose sum is σ = 933771762. Its totient is φ = 104371200.

The previous prime is 313134331. The next prime is 313134337. The reversal of 313134336 is 633431313.

313134336 is a `hidden beast` number, since 313 + 1 + 343 + 3 + 6 = 666.

313134336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 211527936 + 101606400 = 14544^2 + 10080^2 .

It is a super-2 number, since 2×313134336² = 196106224764321792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (313134331) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13186 + ... + 28286.

Almost surely, 2^313134336 is an apocalyptic number.

313134336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466885881).

313134336 is an abundant number, since it is smaller than the sum of its proper divisors (620637426).

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

313134336 is an equidigital number, since it uses as much as digits as its factorization.

313134336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15129 (or 15106 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 313134336 is about 17695.6021655099. The cubic root of 313134336 is about 679.0632545691.

Adding to 313134336 its reverse (633431313), we get a palindrome (946565649).

The spelling of 313134336 in words is "three hundred thirteen million, one hundred thirty-four thousand, three hundred thirty-six".