233739040 has 48 divisors (see below), whose sum is σ = 553239288. Its totient is φ = 93321216.

The previous prime is 233738993. The next prime is 233739047. The reversal of 233739040 is 40937332.

233739040 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 4 ways, for example, as 233600656 + 138384 = 15284^2 + 372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233738993 and 233739011.

It is not an unprimeable number, because it can be changed into a prime (233739047) 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, 116284 + ... + 118276.

Almost surely, 2^233739040 is an apocalyptic number.

233739040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233739040 is an abundant number, since it is smaller than the sum of its proper divisors (319500248).

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

233739040 is a wasteful number, since it uses less digits than its factorization.

233739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 31.

The square root of 233739040 is about 15288.5264168919. The cubic root of 233739040 is about 615.9948557506.

The spelling of 233739040 in words is "two hundred thirty-three million, seven hundred thirty-nine thousand, forty".