323248000 has 128 divisors (see below), whose sum is σ = 816285600. Its totient is φ = 127283200.

The previous prime is 323247971. The next prime is 323248043. The reversal of 323248000 is 842323.

323248000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423887 + ... + 1424113.

Almost surely, 2^323248000 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 323248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408142800).

323248000 is an abundant number, since it is smaller than the sum of its proper divisors (493037600).

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

323248000 is an equidigital number, since it uses as much as digits as its factorization.

323248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 323248000 is about 17979.0989763114. The cubic root of 323248000 is about 686.2967603723.

The spelling of 323248000 in words is "three hundred twenty-three million, two hundred forty-eight thousand".