30208320 has 168 divisors, whose sum is σ = 110194344. Its totient is φ = 7569408.

The previous prime is 30208319. The next prime is 30208333. The reversal of 30208320 is 2380203.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 29419776 = 888^2 + 5424^2 .

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 = 30208293 and 30208302.

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 23 ways as a sum of consecutive naturals, for example, 48652 + ... + 49268.

Almost surely, 2^30208320 is an apocalyptic number.

30208320 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 30208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55097172).

30208320 is an abundant number, since it is smaller than the sum of its proper divisors (79986024).

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

30208320 is a wasteful number, since it uses less digits than its factorization.

30208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30208320 is about 5496.2096029900. The cubic root of 30208320 is about 311.4408129825.

Adding to 30208320 its reverse (2380203), we get a palindrome (32588523).

The spelling of 30208320 in words is "thirty million, two hundred eight thousand, three hundred twenty".