30742900 has 36 divisors (see below), whose sum is σ = 69019020. Its totient is φ = 11872000.

The previous prime is 30742897. The next prime is 30742903. The reversal of 30742900 is 924703.

It is an interprime number because it is at equal distance from previous prime (30742897) and next prime (30742903).

It can be written as a sum of positive squares in 6 ways, for example, as 139876 + 30603024 = 374^2 + 5532^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30742903) by changing a digit.

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, 2401 + ... + 8200.

It is an arithmetic number, because the mean of its divisors is an integer number (1917195).

Almost surely, 2^30742900 is an apocalyptic number.

It is an amenable number.

30742900 is an abundant number, since it is smaller than the sum of its proper divisors (38276120).

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

30742900 is a wasteful number, since it uses less digits than its factorization.

30742900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 30742900 is about 5544.6280308060. The cubic root of 30742900 is about 313.2672135520.

The spelling of 30742900 in words is "thirty million, seven hundred forty-two thousand, nine hundred".