30194400 has 144 divisors (see below), whose sum is σ = 102743424. Its totient is φ = 7687680.

The previous prime is 30194399. The next prime is 30194429. The reversal of 30194400 is 449103.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 54927 + ... + 55473.

It is an arithmetic number, because the mean of its divisors is an integer number (713496).

Almost surely, 2^30194400 is an apocalyptic number.

30194400 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 30194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51371712).

30194400 is an abundant number, since it is smaller than the sum of its proper divisors (72549024).

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

30194400 is a wasteful number, since it uses less digits than its factorization.

30194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 30194400 is about 5494.9431298240. The cubic root of 30194400 is about 311.3929683028.

It can be divided in two parts, 30 and 194400, that multiplied together give a cube (5832000 = 180³).

The spelling of 30194400 in words is "thirty million, one hundred ninety-four thousand, four hundred".