304002144 has 72 divisors (see below), whose sum is σ = 869483160. Its totient is φ = 100750848.

The previous prime is 304002119. The next prime is 304002163. The reversal of 304002144 is 441200403.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48604 + ... + 54500.

It is an arithmetic number, because the mean of its divisors is an integer number (12076155).

Almost surely, 2^304002144 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 304002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434741580).

304002144 is an abundant number, since it is smaller than the sum of its proper divisors (565481016).

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

304002144 is a wasteful number, since it uses less digits than its factorization.

304002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 304002144 is about 17435.6572574710. The cubic root of 304002144 is about 672.3966620743.

Adding to 304002144 its reverse (441200403), we get a palindrome (745202547).

The spelling of 304002144 in words is "three hundred four million, two thousand, one hundred forty-four".