304868340 has 192 divisors, whose sum is σ = 1103155200. Its totient is φ = 68452992.

The previous prime is 304868339. The next prime is 304868371. The reversal of 304868340 is 43868403.

304868340 is a `hidden beast` number, since 304 + 8 + 6 + 8 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304868295 and 304868304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222337 + ... + 223703.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^304868340 is an apocalyptic number.

304868340 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 304868340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

304868340 is an abundant number, since it is smaller than the sum of its proper divisors (798286860).

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

304868340 is a wasteful number, since it uses less digits than its factorization.

304868340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 304868340 is about 17460.4793748625. The cubic root of 304868340 is about 673.0346784094.

The spelling of 304868340 in words is "three hundred four million, eight hundred sixty-eight thousand, three hundred forty".