30242400 has 72 divisors (see below), whose sum is σ = 98446824. Its totient is φ = 8064000.

The previous prime is 30242363. The next prime is 30242413. The reversal of 30242400 is 424203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30242400.

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 11 ways as a sum of consecutive naturals, for example, 3901 + ... + 8700.

It is an arithmetic number, because the mean of its divisors is an integer number (1367317).

Almost surely, 2^30242400 is an apocalyptic number.

30242400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30242400 is an abundant number, since it is smaller than the sum of its proper divisors (68204424).

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

30242400 is a wasteful number, since it uses less digits than its factorization.

30242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12624 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 30242400 is about 5499.3090475077. The cubic root of 30242400 is about 311.5578879472.

Adding to 30242400 its reverse (424203), we get a palindrome (30666603).

The spelling of 30242400 in words is "thirty million, two hundred forty-two thousand, four hundred".