30304144 has 40 divisors (see below), whose sum is σ = 63980280. Its totient is φ = 13820928.

The previous prime is 30304123. The next prime is 30304171. The reversal of 30304144 is 44140303.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 28090000 = 1488^2 + 5300^2 .

It is a super-2 number, since 2×30304144² = 1836682287145472, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 17694 + ... + 19330.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2^30304144 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 30304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990140).

30304144 is an abundant number, since it is smaller than the sum of its proper divisors (33676136).

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

30304144 is a wasteful number, since it uses less digits than its factorization.

30304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 30304144 is about 5504.9199812531. The cubic root of 30304144 is about 311.7697731759.

Adding to 30304144 its reverse (44140303), we get a palindrome (74444447).

The spelling of 30304144 in words is "thirty million, three hundred four thousand, one hundred forty-four".