30042000 has 120 divisors (see below), whose sum is σ = 104989560. Its totient is φ = 8006400.

The previous prime is 30041989. The next prime is 30042011. The reversal of 30042000 is 24003.

It is an interprime number because it is at equal distance from previous prime (30041989) and next prime (30042011).

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 28901376 = 1068^2 + 5376^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17166 + ... + 18834.

It is an arithmetic number, because the mean of its divisors is an integer number (874913).

Almost surely, 2^30042000 is an apocalyptic number.

30042000 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 30042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52494780).

30042000 is an abundant number, since it is smaller than the sum of its proper divisors (74947560).

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

30042000 is a wasteful number, since it uses less digits than its factorization.

30042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30042000 is about 5481.0582919725. The cubic root of 30042000 is about 310.8681871630.

Adding to 30042000 its reverse (24003), we get a palindrome (30066003).

The spelling of 30042000 in words is "thirty million, forty-two thousand", and thus it is an eban number.