30146304 has 72 divisors (see below), whose sum is σ = 84989520. Its totient is φ = 9453568.

The previous prime is 30146297. The next prime is 30146323. The reversal of 30146304 is 40364103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11902 + ... + 14210.

It is an arithmetic number, because the mean of its divisors is an integer number (1180410).

Almost surely, 2^30146304 is an apocalyptic number.

30146304 is a gapful number since it is divisible by the number (34) 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 30146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42494760).

30146304 is an abundant number, since it is smaller than the sum of its proper divisors (54843216).

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

30146304 is a wasteful number, since it uses less digits than its factorization.

30146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 30146304 is about 5490.5649982493. The cubic root of 30146304 is about 311.2275434194.

The spelling of 30146304 in words is "thirty million, one hundred forty-six thousand, three hundred four".