234153504 has 120 divisors (see below), whose sum is σ = 741717900. Its totient is φ = 72036864.

The previous prime is 234153497. The next prime is 234153581. The reversal of 234153504 is 405351432.

234153504 is a `hidden beast` number, since 2 + 3 + 4 + 153 + 504 = 666.

234153504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 234090000 + 63504 = 15300^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30222 + ... + 37170.

Almost surely, 2^234153504 is an apocalyptic number.

234153504 is a gapful number since it is divisible by the number (24) 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 234153504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370858950).

234153504 is an abundant number, since it is smaller than the sum of its proper divisors (507564396).

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

234153504 is a wasteful number, since it uses less digits than its factorization.

234153504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 234153504 is about 15302.0751533901. The cubic root of 234153504 is about 616.3587329720.

The spelling of 234153504 in words is "two hundred thirty-four million, one hundred fifty-three thousand, five hundred four".