234134400 has 192 divisors, whose sum is σ = 798721200. Its totient is φ = 60282880.

The previous prime is 234134399. The next prime is 234134437. The reversal of 234134400 is 4431432.

234134400 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 (192).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 8073586 + ... + 8073614.

Almost surely, 2^234134400 is an apocalyptic number.

234134400 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 234134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399360600).

234134400 is an abundant number, since it is smaller than the sum of its proper divisors (564586800).

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

234134400 is an frugal number, since it uses more digits than its factorization.

234134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 39 counting only the distinct ones).

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

The square root of 234134400 is about 15301.4509115966. The cubic root of 234134400 is about 616.3419701259.

Adding to 234134400 its reverse (4431432), we get a palindrome (238565832).

The spelling of 234134400 in words is "two hundred thirty-four million, one hundred thirty-four thousand, four hundred".