313414332 has 96 divisors (see below), whose sum is σ = 934101504. Its totient is φ = 79411200.

The previous prime is 313414303. The next prime is 313414393. The reversal of 313414332 is 233414313.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 33748 + ... + 42020.

It is an arithmetic number, because the mean of its divisors is an integer number (9730224).

Almost surely, 2^313414332 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 313414332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467050752).

313414332 is an abundant number, since it is smaller than the sum of its proper divisors (620687172).

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

313414332 is a wasteful number, since it uses less digits than its factorization.

313414332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339 (or 8337 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 313414332 is about 17703.5118549965. The cubic root of 313414332 is about 679.2655940873.

Adding to 313414332 its reverse (233414313), we get a palindrome (546828645).

The spelling of 313414332 in words is "three hundred thirteen million, four hundred fourteen thousand, three hundred thirty-two".