204304032 has 180 divisors, whose sum is σ = 632327850. Its totient is φ = 64703232.

The previous prime is 204304027. The next prime is 204304049. The reversal of 204304032 is 230403402.

It can be written as a sum of positive squares in only one way, i.e., 198133776 + 6170256 = 14076^2 + 2484^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 204303996 and 204304014.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1371094 + ... + 1371242.

Almost surely, 2^204304032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316163925).

204304032 is an abundant number, since it is smaller than the sum of its proper divisors (428023818).

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

204304032 is a wasteful number, since it uses less digits than its factorization.

204304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 177 counting only the distinct ones).

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

The square root of 204304032 is about 14293.4961433514. The cubic root of 204304032 is about 588.9688317931.

Adding to 204304032 its reverse (230403402), we get a palindrome (434707434).

The spelling of 204304032 in words is "two hundred four million, three hundred four thousand, thirty-two".