204340240 has 80 divisors (see below), whose sum is σ = 520185456. Its totient is φ = 74188800.

The previous prime is 204340139. The next prime is 204340247. The reversal of 204340240 is 42043402.

It can be written as a sum of positive squares in 8 ways, for example, as 34715664 + 169624576 = 5892^2 + 13024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (204340247) 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, 61830 + ... + 65050.

Almost surely, 2^204340240 is an apocalyptic number.

204340240 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 204340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260092728).

204340240 is an abundant number, since it is smaller than the sum of its proper divisors (315845216).

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

204340240 is a wasteful number, since it uses less digits than its factorization.

204340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 204340240 is about 14294.7626772885. The cubic root of 204340240 is about 589.0036232810.

Adding to 204340240 its reverse (42043402), we get a palindrome (246383642).

The spelling of 204340240 in words is "two hundred four million, three hundred forty thousand, two hundred forty".