30042320 has 80 divisors (see below), whose sum is σ = 87101568. Its totient is φ = 9361920.

The previous prime is 30042263. The next prime is 30042323. The reversal of 30042320 is 2324003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 30042295 and 30042304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30042323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3722 + ... + 8598.

Almost surely, 2^30042320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43550784).

30042320 is an abundant number, since it is smaller than the sum of its proper divisors (57059248).

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

30042320 is a wasteful number, since it uses less digits than its factorization.

30042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 30042320 is about 5481.0874833376. The cubic root of 30042320 is about 310.8692909229.

Adding to 30042320 its reverse (2324003), we get a palindrome (32366323).

The spelling of 30042320 in words is "thirty million, forty-two thousand, three hundred twenty".