234314400 has 144 divisors (see below), whose sum is σ = 807698304. Its totient is φ = 58798080.

The previous prime is 234314393. The next prime is 234314447. The reversal of 234314400 is 4413432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37929 + ... + 43671.

It is an arithmetic number, because the mean of its divisors is an integer number (5609016).

Almost surely, 2^234314400 is an apocalyptic number.

234314400 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 234314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403849152).

234314400 is an abundant number, since it is smaller than the sum of its proper divisors (573383904).

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

234314400 is a wasteful number, since it uses less digits than its factorization.

234314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5770 counting only the distinct ones).

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

The square root of 234314400 is about 15307.3315767315. The cubic root of 234314400 is about 616.4998753526.

Adding to 234314400 its reverse (4413432), we get a palindrome (238727832).

The spelling of 234314400 in words is "two hundred thirty-four million, three hundred fourteen thousand, four hundred".