313434324 has 72 divisors (see below), whose sum is σ = 911584128. Its totient is φ = 88948800.

The previous prime is 313434323. The next prime is 313434337. The reversal of 313434324 is 423434313.

313434324 is a `hidden beast` number, since 313 + 4 + 343 + 2 + 4 = 666.

It is a super-2 number, since 2×313434324² = 196482150922673952, which contains 22 as substring.

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 (313434323) 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 23 ways as a sum of consecutive naturals, for example, 33934 + ... + 42170.

Almost surely, 2^313434324 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 313434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455792064).

313434324 is an abundant number, since it is smaller than the sum of its proper divisors (598149804).

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

313434324 is a wasteful number, since it uses less digits than its factorization.

313434324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405 (or 8400 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 313434324 is about 17704.0764797264. The cubic root of 313434324 is about 679.2800367251.

Adding to 313434324 its reverse (423434313), we get a palindrome (736868637).

The spelling of 313434324 in words is "three hundred thirteen million, four hundred thirty-four thousand, three hundred twenty-four".