313430432 has 48 divisors (see below), whose sum is σ = 709248960. Its totient is φ = 133559808.

The previous prime is 313430417. The next prime is 313430437. The reversal of 313430432 is 234034313.

It is a junction number, because it is equal to n+sod(n) for n = 313430398 and 313430407.

It is not an unprimeable number, because it can be changed into a prime (313430437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36188 + ... + 44004.

It is an arithmetic number, because the mean of its divisors is an integer number (14776020).

Almost surely, 2^313430432 is an apocalyptic number.

313430432 is a gapful number since it is divisible by the number (32) 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 313430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354624480).

313430432 is an abundant number, since it is smaller than the sum of its proper divisors (395818528).

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

313430432 is a wasteful number, since it uses less digits than its factorization.

313430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8013 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 313430432 is about 17703.9665611975. The cubic root of 313430432 is about 679.2772251113.

Adding to 313430432 its reverse (234034313), we get a palindrome (547464745).

The spelling of 313430432 in words is "three hundred thirteen million, four hundred thirty thousand, four hundred thirty-two".