233288034 has 128 divisors (see below), whose sum is σ = 586248192. Its totient is φ = 60445440.

The previous prime is 233288021. The next prime is 233288053. The reversal of 233288034 is 430882332.

It is a junction number, because it is equal to n+sod(n) for n = 233287986 and 233288004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180209 + ... + 2180315.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2^233288034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233288034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293124096).

233288034 is an abundant number, since it is smaller than the sum of its proper divisors (352960158).

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

233288034 is a wasteful number, since it uses less digits than its factorization.

233288034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 233288034 is about 15273.7694758039. The cubic root of 233288034 is about 615.5984075675.

The spelling of 233288034 in words is "two hundred thirty-three million, two hundred eighty-eight thousand, thirty-four".