304166016 has 384 divisors, whose sum is σ = 1140572160. Its totient is φ = 78382080.

The previous prime is 304165969. The next prime is 304166021. The reversal of 304166016 is 610661403.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×304166016³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394945 + ... + 2395071.

It is an arithmetic number, because the mean of its divisors is an integer number (2970240).

Almost surely, 2^304166016 is an apocalyptic number.

304166016 is a gapful number since it is divisible by the number (36) 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 304166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570286080).

304166016 is an abundant number, since it is smaller than the sum of its proper divisors (836406144).

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

304166016 is a wasteful number, since it uses less digits than its factorization.

304166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 304166016 is about 17440.3559596701. The cubic root of 304166016 is about 672.5174585832.

The spelling of 304166016 in words is "three hundred four million, one hundred sixty-six thousand, sixteen".