304042200 has 192 divisors, whose sum is σ = 1175281920. Its totient is φ = 63168000.

The previous prime is 304042187. The next prime is 304042213. The reversal of 304042200 is 2240403.

It is a happy number.

304042200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (304042187) and next prime (304042213).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 304042200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 42910 + ... + 49490.

It is an arithmetic number, because the mean of its divisors is an integer number (6121260).

Almost surely, 2^304042200 is an apocalyptic number.

304042200 is a gapful number since it is divisible by the number (30) 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 304042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587640960).

304042200 is an abundant number, since it is smaller than the sum of its proper divisors (871239720).

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

304042200 is a wasteful number, since it uses less digits than its factorization.

304042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 304042200 is about 17436.8059001642. The cubic root of 304042200 is about 672.4261929383.

Adding to 304042200 its reverse (2240403), we get a palindrome (306282603).

The spelling of 304042200 in words is "three hundred four million, forty-two thousand, two hundred".