30242320 has 80 divisors (see below), whose sum is σ = 76588848. Its totient is φ = 11059200.

The previous prime is 30242299. The next prime is 30242321. The reversal of 30242320 is 2324203.

It can be written as a sum of positive squares in 8 ways, for example, as 6739216 + 23503104 = 2596^2 + 4848^2 .

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 30242294 and 30242303.

It is not an unprimeable number, because it can be changed into a prime (30242321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50020 + ... + 50620.

Almost surely, 2^30242320 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 30242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38294424).

30242320 is an abundant number, since it is smaller than the sum of its proper divisors (46346528).

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

30242320 is a wasteful number, since it uses less digits than its factorization.

30242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 30242320 is about 5499.3017738618. The cubic root of 30242320 is about 311.5576132263.

Adding to 30242320 its reverse (2324203), we get a palindrome (32566523).

The spelling of 30242320 in words is "thirty million, two hundred forty-two thousand, three hundred twenty".