234133040 has 80 divisors (see below), whose sum is σ = 566401248. Its totient is φ = 89929728.

The previous prime is 234132961. The next prime is 234133057. The reversal of 234133040 is 40331432.

234133040 is digitally balanced in base 2 and base 3, because in such bases 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 245204 + ... + 246156.

Almost surely, 2^234133040 is an apocalyptic number.

234133040 is a gapful number since it is divisible by the number (20) 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 234133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283200624).

234133040 is an abundant number, since it is smaller than the sum of its proper divisors (332268208).

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

234133040 is a wasteful number, since it uses less digits than its factorization.

234133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 234133040 is about 15301.4064713019. The cubic root of 234133040 is about 616.3407767562.

Adding to 234133040 its reverse (40331432), we get a palindrome (274464472).

The spelling of 234133040 in words is "two hundred thirty-four million, one hundred thirty-three thousand, forty".