30842700 has 144 divisors (see below), whose sum is σ = 107493120. Its totient is φ = 6670080.

The previous prime is 30842699. The next prime is 30842731. The reversal of 30842700 is 724803.

30842700 = 1960² + 1961² + ... + 1967².

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, 39514 + ... + 40286.

It is an arithmetic number, because the mean of its divisors is an integer number (746480).

Almost surely, 2^30842700 is an apocalyptic number.

30842700 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 30842700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53746560).

30842700 is an abundant number, since it is smaller than the sum of its proper divisors (76650420).

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

30842700 is a wasteful number, since it uses less digits than its factorization.

30842700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30842700 is about 5553.6204407575. The cubic root of 30842700 is about 313.6058315546.

The spelling of 30842700 in words is "thirty million, eight hundred forty-two thousand, seven hundred".