313434432 has 168 divisors, whose sum is σ = 955730880. Its totient is φ = 97996800.

The previous prime is 313434427. The next prime is 313434449. The reversal of 313434432 is 234434313.

313434432 is a `hidden beast` number, since 313 + 4 + 344 + 3 + 2 = 666.

It is a super-2 number, since 2×313434432² = 196482286326325248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 313434396 and 313434405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781432 + ... + 781832.

Almost surely, 2^313434432 is an apocalyptic number.

313434432 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 313434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477865440).

313434432 is an abundant number, since it is smaller than the sum of its proper divisors (642296448).

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

313434432 is a wasteful number, since it uses less digits than its factorization.

313434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

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

The square root of 313434432 is about 17704.0795298711. The cubic root of 313434432 is about 679.2801147449.

Adding to 313434432 its reverse (234434313), we get a palindrome (547868745).

The spelling of 313434432 in words is "three hundred thirteen million, four hundred thirty-four thousand, four hundred thirty-two".