23234400 has 216 divisors, whose sum is σ = 93837744. Its totient is φ = 5299200.

The previous prime is 23234399. The next prime is 23234401. The reversal of 23234400 is 443232.

23234400 is a `hidden beast` number, since 232 + 34 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (23234399) and next prime (23234401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23234401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50170 + ... + 50630.

It is an arithmetic number, because the mean of its divisors is an integer number (434434).

Almost surely, 2^23234400 is an apocalyptic number.

23234400 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 23234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46918872).

23234400 is an abundant number, since it is smaller than the sum of its proper divisors (70603344).

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

23234400 is a wasteful number, since it uses less digits than its factorization.

23234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23234400 is about 4820.2074644148. The cubic root of 23234400 is about 285.3495249980.

Adding to 23234400 its reverse (443232), we get a palindrome (23677632).

The spelling of 23234400 in words is "twenty-three million, two hundred thirty-four thousand, four hundred".