204340000 has 120 divisors (see below), whose sum is σ = 533163708. Its totient is φ = 76800000.

The previous prime is 204339997. The next prime is 204340039. The reversal of 204340000 is 43402.

204340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 535824 + 203804176 = 732^2 + 14276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339700 + ... + 340300.

Almost surely, 2^204340000 is an apocalyptic number.

204340000 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 204340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266581854).

204340000 is an abundant number, since it is smaller than the sum of its proper divisors (328823708).

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

204340000 is an equidigital number, since it uses as much as digits as its factorization.

204340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 204340000 is about 14294.7542826031. The cubic root of 204340000 is about 589.0033926837.

Adding to 204340000 its reverse (43402), we get a palindrome (204383402).

The spelling of 204340000 in words is "two hundred four million, three hundred forty thousand".