233134304 has 48 divisors (see below), whose sum is σ = 505823472. Its totient is φ = 105090048.

The previous prime is 233134303. The next prime is 233134309. The reversal of 233134304 is 403431332.

233134304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 233134304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233134303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11372 + ... + 24404.

It is an arithmetic number, because the mean of its divisors is an integer number (10537989).

Almost surely, 2^233134304 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 233134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252911736).

233134304 is an abundant number, since it is smaller than the sum of its proper divisors (272689168).

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

233134304 is a wasteful number, since it uses less digits than its factorization.

233134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13099 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 233134304 is about 15268.7361624988. The cubic root of 233134304 is about 615.4631573983.

Adding to 233134304 its reverse (403431332), we get a palindrome (636565636).

The spelling of 233134304 in words is "two hundred thirty-three million, one hundred thirty-four thousand, three hundred four".