30345900 has 144 divisors (see below), whose sum is σ = 97993728. Its totient is φ = 7200000.

The previous prime is 30345877. The next prime is 30345923. The reversal of 30345900 is 954303.

It is an interprime number because it is at equal distance from previous prime (30345877) and next prime (30345923).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 120775 + ... + 121025.

It is an arithmetic number, because the mean of its divisors is an integer number (680512).

Almost surely, 2^30345900 is an apocalyptic number.

30345900 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 30345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48996864).

30345900 is an abundant number, since it is smaller than the sum of its proper divisors (67647828).

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

30345900 is a wasteful number, since it uses less digits than its factorization.

30345900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 30345900 is about 5508.7112830498. The cubic root of 30345900 is about 311.9129030390.

The spelling of 30345900 in words is "thirty million, three hundred forty-five thousand, nine hundred".