234304000 has 160 divisors (see below), whose sum is σ = 668992896. Its totient is φ = 80179200.

The previous prime is 234303997. The next prime is 234304001. The reversal of 234304000 is 403432.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447739 + ... + 448261.

Almost surely, 2^234304000 is an apocalyptic number.

234304000 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 234304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334496448).

234304000 is an abundant number, since it is smaller than the sum of its proper divisors (434688896).

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

234304000 is an frugal number, since it uses more digits than its factorization.

234304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 234304000 is about 15306.9918664642. The cubic root of 234304000 is about 616.4907541412.

Adding to 234304000 its reverse (403432), we get a palindrome (234707432).

The spelling of 234304000 in words is "two hundred thirty-four million, three hundred four thousand".