30339840 has 72 divisors (see below), whose sum is σ = 96910128. Its totient is φ = 8089600.

The previous prime is 30339809. The next prime is 30339853. The reversal of 30339840 is 4893303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30339798 and 30339807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (1345974).

Almost surely, 2^30339840 is an apocalyptic number.

30339840 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 30339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48455064).

30339840 is an abundant number, since it is smaller than the sum of its proper divisors (66570288).

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

30339840 is an equidigital number, since it uses as much as digits as its factorization.

30339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7925 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 30339840 is about 5508.1612176842. The cubic root of 30339840 is about 311.8921389157.

The spelling of 30339840 in words is "thirty million, three hundred thirty-nine thousand, eight hundred forty".