30386240 has 56 divisors (see below), whose sum is σ = 72831960. Its totient is φ = 12075008.

The previous prime is 30386233. The next prime is 30386269. The reversal of 30386240 is 4268303.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 30382144 = 64^2 + 5512^2 .

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 7 ways as a sum of consecutive naturals, for example, 85904 + ... + 86256.

Almost surely, 2^30386240 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 30386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36415980).

30386240 is an abundant number, since it is smaller than the sum of its proper divisors (42445720).

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

30386240 is a wasteful number, since it uses less digits than its factorization.

30386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 30386240 is about 5512.3715404533. The cubic root of 30386240 is about 312.0510545424.

The spelling of 30386240 in words is "thirty million, three hundred eighty-six thousand, two hundred forty".