304064040 has 256 divisors, whose sum is σ = 1119744000. Its totient is φ = 64475136.

The previous prime is 304064017. The next prime is 304064041. The reversal of 304064040 is 40460403.

It is a super-2 number, since 2×304064040² = 184909880842243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 304063998 and 304064016.

It is not an unprimeable number, because it can be changed into a prime (304064041) 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 63 ways as a sum of consecutive naturals, for example, 1527861 + ... + 1528059.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2^304064040 is an apocalyptic number.

304064040 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 304064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559872000).

304064040 is an abundant number, since it is smaller than the sum of its proper divisors (815679960).

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

304064040 is a wasteful number, since it uses less digits than its factorization.

304064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 304064040 is about 17437.4321504056. The cubic root of 304064040 is about 672.4422931555.

The spelling of 304064040 in words is "three hundred four million, sixty-four thousand, forty".