30730320 has 160 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 7971840.

The previous prime is 30730319. The next prime is 30730363. The reversal of 30730320 is 2303703.

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

It is a junction number, because it is equal to n+sod(n) for n = 30730293 and 30730302.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 88387 + ... + 88733.

It is an arithmetic number, because the mean of its divisors is an integer number (679644).

Almost surely, 2^30730320 is an apocalyptic number.

30730320 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 30730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

30730320 is an abundant number, since it is smaller than the sum of its proper divisors (78012720).

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

30730320 is a wasteful number, since it uses less digits than its factorization.

30730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 30730320 is about 5543.4934833551. The cubic root of 30730320 is about 313.2244780563.

The spelling of 30730320 in words is "thirty million, seven hundred thirty thousand, three hundred twenty".