234004200 has 96 divisors (see below), whose sum is σ = 736366560. Its totient is φ = 61459200.

The previous prime is 234004189. The next prime is 234004259. The reversal of 234004200 is 2400432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 234004200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37290 + ... + 43110.

It is an arithmetic number, because the mean of its divisors is an integer number (7670485).

Almost surely, 2^234004200 is an apocalyptic number.

234004200 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 234004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368183280).

234004200 is an abundant number, since it is smaller than the sum of its proper divisors (502362360).

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

234004200 is a wasteful number, since it uses less digits than its factorization.

234004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 234004200 is about 15297.1958214570. The cubic root of 234004200 is about 616.2277015632.

Adding to 234004200 its reverse (2400432), we get a palindrome (236404632).

The spelling of 234004200 in words is "two hundred thirty-four million, four thousand, two hundred".