304368 has 40 divisors (see below), whose sum is σ = 834768. Its totient is φ = 95232.

The previous prime is 304363. The next prime is 304373. The reversal of 304368 is 863403.

304368 = T₁₈₇ + T₁₈₈ + ... + T₂₀₂.

It is an interprime number because it is at equal distance from previous prime (304363) and next prime (304373).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304363) by changing a digit.

304368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630 + ... + 1002.

2³⁰⁴³⁶⁸ 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 304368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417384).

304368 is an abundant number, since it is smaller than the sum of its proper divisors (530400).

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

304368 is a wasteful number, since it uses less digits than its factorization.

304368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 304368 is about 551.6955682258. The cubic root of 304368 is about 67.2666289268.

The spelling of 304368 in words is "three hundred four thousand, three hundred sixty-eight".