204335312 has 80 divisors (see below), whose sum is σ = 435388800. Its totient is φ = 92606976.

The previous prime is 204335311. The next prime is 204335321. The reversal of 204335312 is 213533402.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204335311) 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, 585314 + ... + 585662.

It is an arithmetic number, because the mean of its divisors is an integer number (5442360).

Almost surely, 2^204335312 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 204335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217694400).

204335312 is an abundant number, since it is smaller than the sum of its proper divisors (231053488).

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

204335312 is a wasteful number, since it uses less digits than its factorization.

204335312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 204335312 is about 14294.5903054267. The cubic root of 204335312 is about 588.9988883135.

Adding to 204335312 its reverse (213533402), we get a palindrome (417868714).

The spelling of 204335312 in words is "two hundred four million, three hundred thirty-five thousand, three hundred twelve".