23434400 has 72 divisors (see below), whose sum is σ = 62433504. Its totient is φ = 8518400.

The previous prime is 23434399. The next prime is 23434403. The reversal of 23434400 is 443432.

It is a happy number.

It is a super-2 number, since 2×23434400² = 1098342206720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23434403) 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, 7469 + ... + 10131.

It is an arithmetic number, because the mean of its divisors is an integer number (867132).

Almost surely, 2^23434400 is an apocalyptic number.

23434400 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 23434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31216752).

23434400 is an abundant number, since it is smaller than the sum of its proper divisors (38999104).

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

23434400 is a wasteful number, since it uses less digits than its factorization.

23434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 23434400 is about 4840.9090055484. The cubic root of 23434400 is about 286.1659427872.

Adding to 23434400 its reverse (443432), we get a palindrome (23877832).

The spelling of 23434400 in words is "twenty-three million, four hundred thirty-four thousand, four hundred".