234324864 has 96 divisors (see below), whose sum is σ = 680954040. Its totient is φ = 77337600.

The previous prime is 234324863. The next prime is 234324869. The reversal of 234324864 is 468423432.

234324864 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234324863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122314 + ... + 124214.

Almost surely, 2^234324864 is an apocalyptic number.

234324864 is a gapful number since it is divisible by the number (24) 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 234324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340477020).

234324864 is an abundant number, since it is smaller than the sum of its proper divisors (446629176).

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

234324864 is a wasteful number, since it uses less digits than its factorization.

234324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2013 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 234324864 is about 15307.6733699148. The cubic root of 234324864 is about 616.5090524222.

The spelling of 234324864 in words is "two hundred thirty-four million, three hundred twenty-four thousand, eight hundred sixty-four".