30938112 has 110 divisors (see below), whose sum is σ = 92634938. Its totient is φ = 10285056.

The previous prime is 30938111. The next prime is 30938153. The reversal of 30938112 is 21183903.

It can be written as a sum of positive squares in only one way, i.e., 26873856 + 4064256 = 5184^2 + 2016^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30938111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82758 + ... + 83130.

Almost surely, 2^30938112 is an apocalyptic number.

30938112 is a gapful number since it is divisible by the number (32) 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 30938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46317469).

30938112 is an abundant number, since it is smaller than the sum of its proper divisors (61696826).

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

30938112 is an equidigital number, since it uses as much as digits as its factorization.

30938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 30938112 is about 5562.2038797585. The cubic root of 30938112 is about 313.9288789117.

The spelling of 30938112 in words is "thirty million, nine hundred thirty-eight thousand, one hundred twelve".