30042900 has 90 divisors (see below), whose sum is σ = 97413470. Its totient is φ = 8009280.

The previous prime is 30042877. The next prime is 30042919. The reversal of 30042900 is 924003.

It can be written as a sum of positive squares in 3 ways, for example, as 492804 + 29550096 = 702^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6246 + ... + 9954.

Almost surely, 2^30042900 is an apocalyptic number.

30042900 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 30042900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48706735).

30042900 is an abundant number, since it is smaller than the sum of its proper divisors (67370570).

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

30042900 is a wasteful number, since it uses less digits than its factorization.

30042900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30042900 is about 5481.1403922906. The cubic root of 30042900 is about 310.8712914678.

Adding to 30042900 its reverse (924003), we get a palindrome (30966903).

The spelling of 30042900 in words is "thirty million, forty-two thousand, nine hundred".