30442240 has 72 divisors (see below), whose sum is σ = 77263200. Its totient is φ = 11452416.

The previous prime is 30442219. The next prime is 30442259. The reversal of 30442240 is 4224403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21061 + ... + 22459.

It is an arithmetic number, because the mean of its divisors is an integer number (1073100).

Almost surely, 2^30442240 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 30442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38631600).

30442240 is an abundant number, since it is smaller than the sum of its proper divisors (46820960).

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

30442240 is a wasteful number, since it uses less digits than its factorization.

30442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 30442240 is about 5517.4486857605. The cubic root of 30442240 is about 312.2426339656.

Adding to 30442240 its reverse (4224403), we get a palindrome (34666643).

It can be divided in two parts, 30 and 442240, that added together give a triangular number (442270 = T₉₄₀).

The spelling of 30442240 in words is "thirty million, four hundred forty-two thousand, two hundred forty".