204321312 has 96 divisors (see below), whose sum is σ = 641813760. Its totient is φ = 62864640.

The previous prime is 204321241. The next prime is 204321319. The reversal of 204321312 is 213123402.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (204321319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2137 + ... + 20327.

It is an arithmetic number, because the mean of its divisors is an integer number (6685560).

Almost surely, 2^204321312 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 204321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320906880).

204321312 is an abundant number, since it is smaller than the sum of its proper divisors (437492448).

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

204321312 is a wasteful number, since it uses less digits than its factorization.

204321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18223 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204321312 is about 14294.1006012970. The cubic root of 204321312 is about 588.9854362859.

Adding to 204321312 its reverse (213123402), we get a palindrome (417444714).

The spelling of 204321312 in words is "two hundred four million, three hundred twenty-one thousand, three hundred twelve".