234100800 has 168 divisors, whose sum is σ = 853541600. Its totient is φ = 62415360.

The previous prime is 234100793. The next prime is 234100817. The reversal of 234100800 is 8001432.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40491 + ... + 45909.

Almost surely, 2^234100800 is an apocalyptic number.

234100800 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 234100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426770800).

234100800 is an abundant number, since it is smaller than the sum of its proper divisors (619440800).

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

234100800 is a wasteful number, since it uses less digits than its factorization.

234100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 234100800 is about 15300.3529371057. The cubic root of 234100800 is about 616.3124855209.

The spelling of 234100800 in words is "two hundred thirty-four million, one hundred thousand, eight hundred".