30842240 has 128 divisors (see below), whose sum is σ = 86879520. Its totient is φ = 10321920.

The previous prime is 30842221. The next prime is 30842243. The reversal of 30842240 is 4224803.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30842243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91352 + ... + 91688.

Almost surely, 2^30842240 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 30842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43439760).

30842240 is an abundant number, since it is smaller than the sum of its proper divisors (56037280).

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

30842240 is a wasteful number, since it uses less digits than its factorization.

30842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 30842240 is about 5553.5790261776. The cubic root of 30842240 is about 313.6042724671.

The spelling of 30842240 in words is "thirty million, eight hundred forty-two thousand, two hundred forty".