30939400 has 72 divisors (see below), whose sum is σ = 74585070. Its totient is φ = 11934720.

The previous prime is 30939373. The next prime is 30939407. The reversal of 30939400 is 493903.

It can be written as a sum of positive squares in 9 ways, for example, as 4251844 + 26687556 = 2062^2 + 5166^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30939407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 273744 + ... + 273856.

Almost surely, 2^30939400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30939400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37292535).

30939400 is an abundant number, since it is smaller than the sum of its proper divisors (43645670).

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

30939400 is a wasteful number, since it uses less digits than its factorization.

30939400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 30939400 is about 5562.3196599980. The cubic root of 30939400 is about 313.9332352946.

The spelling of 30939400 in words is "thirty million, nine hundred thirty-nine thousand, four hundred".