30420320 has 96 divisors (see below), whose sum is σ = 83135808. Its totient is φ = 10303488.

The previous prime is 30420317. The next prime is 30420337. The reversal of 30420320 is 2302403.

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 = 30420295 and 30420304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175754 + ... + 175926.

It is an arithmetic number, because the mean of its divisors is an integer number (865998).

Almost surely, 2^30420320 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 30420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41567904).

30420320 is an abundant number, since it is smaller than the sum of its proper divisors (52715488).

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

30420320 is a wasteful number, since it uses less digits than its factorization.

30420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

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

The square root of 30420320 is about 5515.4619026878. The cubic root of 30420320 is about 312.1676723119.

Adding to 30420320 its reverse (2302403), we get a palindrome (32722723).

It can be divided in two parts, 30420 and 320, that multiplied together give a square (9734400 = 3120²).

The spelling of 30420320 in words is "thirty million, four hundred twenty thousand, three hundred twenty".