234264 has 32 divisors (see below), whose sum is σ = 601920. Its totient is φ = 75936.

The previous prime is 234259. The next prime is 234271. The reversal of 234264 is 462432.

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

It is a self number, because there is not a number n which added to its sum of digits gives 234264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (18810).

234264 is a Friedman number, since it can be written as 22^4+(6*4)/3, using all its digits and the basic arithmetic operations.

2²³⁴²⁶⁴ is an apocalyptic number.

234264 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 234264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300960).

234264 is an abundant number, since it is smaller than the sum of its proper divisors (367656).

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

234264 is a wasteful number, since it uses less digits than its factorization.

234264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 234264 is about 484.0082643923. The cubic root of 234264 is about 61.6455670043.

Adding to 234264 its reverse (462432), we get a palindrome (696696).

It can be divided in two parts, 234 and 264, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 234264 in words is "two hundred thirty-four thousand, two hundred sixty-four".