30329360 has 80 divisors (see below), whose sum is σ = 77338800. Its totient is φ = 11010048.

The previous prime is 30329357. The next prime is 30329413. The reversal of 30329360 is 6392303.

It can be written as a sum of positive squares in 8 ways, for example, as 35344 + 30294016 = 188^2 + 5504^2 .

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

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 15 ways as a sum of consecutive naturals, for example, 39056 + ... + 39824.

It is an arithmetic number, because the mean of its divisors is an integer number (966735).

Almost surely, 2^30329360 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 30329360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38669400).

30329360 is an abundant number, since it is smaller than the sum of its proper divisors (47009440).

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

30329360 is a wasteful number, since it uses less digits than its factorization.

30329360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 30329360 is about 5507.2098198634. The cubic root of 30329360 is about 311.8562234764.

The spelling of 30329360 in words is "thirty million, three hundred twenty-nine thousand, three hundred sixty".