314434432 has 64 divisors (see below), whose sum is σ = 678328560. Its totient is φ = 144322560.

The previous prime is 314434429. The next prime is 314434459. The reversal of 314434432 is 234434413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 314434432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387307 + ... + 388117.

Almost surely, 2^314434432 is an apocalyptic number.

314434432 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 314434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339164280).

314434432 is an abundant number, since it is smaller than the sum of its proper divisors (363894128).

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

314434432 is a wasteful number, since it uses less digits than its factorization.

314434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 314434432 is about 17732.2991177117. The cubic root of 314434432 is about 680.0017531673.

Adding to 314434432 its reverse (234434413), we get a palindrome (548868845).

The spelling of 314434432 in words is "three hundred fourteen million, four hundred thirty-four thousand, four hundred thirty-two".