320354432 has 64 divisors (see below), whose sum is σ = 657379800. Its totient is φ = 155443200.

The previous prime is 320354381. The next prime is 320354449. The reversal of 320354432 is 234453023.

It can be written as a sum of positive squares in 4 ways, for example, as 107661376 + 212693056 = 10376^2 + 14584^2 .

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

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, 694682 + ... + 695142.

Almost surely, 2^320354432 is an apocalyptic number.

320354432 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 320354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328689900).

320354432 is an abundant number, since it is smaller than the sum of its proper divisors (337025368).

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

320354432 is an equidigital number, since it uses as much as digits as its factorization.

320354432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 320354432 is about 17898.4477539255. The cubic root of 320354432 is about 684.2428147420.

The spelling of 320354432 in words is "three hundred twenty million, three hundred fifty-four thousand, four hundred thirty-two".