30347920 has 80 divisors (see below), whose sum is σ = 74280960. Its totient is φ = 11515392.

The previous prime is 30347917. The next prime is 30347939. The reversal of 30347920 is 2974303.

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, 238897 + ... + 239023.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 2^30347920 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 30347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140480).

30347920 is an abundant number, since it is smaller than the sum of its proper divisors (43933040).

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

30347920 is a wasteful number, since it uses less digits than its factorization.

30347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 30347920 is about 5508.8946259663. The cubic root of 30347920 is about 311.9198237991.

The spelling of 30347920 in words is "thirty million, three hundred forty-seven thousand, nine hundred twenty".