234121824 has 72 divisors (see below), whose sum is σ = 704962440. Its totient is φ = 73448448.

The previous prime is 234121813. The next prime is 234121837. The reversal of 234121824 is 428121432.

234121824 is digitally balanced in base 2, because in such base 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19014 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (9791145).

Almost surely, 2^234121824 is an apocalyptic number.

234121824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234121824 is an abundant number, since it is smaller than the sum of its proper divisors (470840616).

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

234121824 is a wasteful number, since it uses less digits than its factorization.

234121824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47852 (or 47841 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 234121824 is about 15301.0399646560. The cubic root of 234121824 is about 616.3309347898.

The spelling of 234121824 in words is "two hundred thirty-four million, one hundred twenty-one thousand, eight hundred twenty-four".