30190400 has 42 divisors (see below), whose sum is σ = 74291190. Its totient is φ = 12075520.

The previous prime is 30190399. The next prime is 30190417. The reversal of 30190400 is 409103.

It can be written as a sum of positive squares in 3 ways, for example, as 8809024 + 21381376 = 2968^2 + 4624^2 .

It is a super-2 number, since 2×30190400² = 1822920504320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7835 + ... + 11034.

Almost surely, 2^30190400 is an apocalyptic number.

It is an amenable number.

30190400 is an abundant number, since it is smaller than the sum of its proper divisors (44100790).

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

30190400 is a wasteful number, since it uses less digits than its factorization.

30190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18891 (or 18876 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 30190400 is about 5494.5791467591. The cubic root of 30190400 is about 311.3792171118.

Adding to 30190400 its reverse (409103), we get a palindrome (30599503).

The spelling of 30190400 in words is "thirty million, one hundred ninety thousand, four hundred".