313431336 has 64 divisors (see below), whose sum is σ = 872467200. Its totient is φ = 104258304.

The previous prime is 313431311. The next prime is 313431337. The reversal of 313431336 is 633134313.

313431336 is a `hidden beast` number, since 313 + 4 + 313 + 36 = 666.

It is a super-3 number, since 3×313431336³ (a number of 26 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (313431337) 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, 126865 + ... + 129311.

It is an arithmetic number, because the mean of its divisors is an integer number (13632300).

Almost surely, 2^313431336 is an apocalyptic number.

313431336 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 313431336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436233600).

313431336 is an abundant number, since it is smaller than the sum of its proper divisors (559035864).

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

313431336 is a wasteful number, since it uses less digits than its factorization.

313431336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3045 counting only the distinct ones).

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

The square root of 313431336 is about 17703.9920921808. The cubic root of 313431336 is about 679.2778781706.

Adding to 313431336 its reverse (633134313), we get a palindrome (946565649).

It can be divided in two parts, 313 and 431336, that added together give a square (431649 = 657²).

The spelling of 313431336 in words is "three hundred thirteen million, four hundred thirty-one thousand, three hundred thirty-six".