323253952 has 112 divisors (see below), whose sum is σ = 768096000. Its totient is φ = 132056064.

The previous prime is 323253947. The next prime is 323253961. The reversal of 323253952 is 259352323.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×323253952³ (a number of 27 digits) contains 333 as substring.

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, 1805799 + ... + 1805977.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^323253952 is an apocalyptic number.

323253952 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 323253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048000).

323253952 is an abundant number, since it is smaller than the sum of its proper divisors (444842048).

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

323253952 is a wasteful number, since it uses less digits than its factorization.

323253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its digits is 48600, while the sum is 34.

The square root of 323253952 is about 17979.2645010857. The cubic root of 323253952 is about 686.3009726317.

The spelling of 323253952 in words is "three hundred twenty-three million, two hundred fifty-three thousand, nine hundred fifty-two".