21734240 has 96 divisors (see below), whose sum is σ = 57316896. Its totient is φ = 7720960.

The previous prime is 21734213. The next prime is 21734261. The reversal of 21734240 is 4243712.

It is a congruent number.

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, 93164 + ... + 93396.

It is an arithmetic number, because the mean of its divisors is an integer number (597051).

Almost surely, 2^21734240 is an apocalyptic number.

21734240 is a gapful number since it is divisible by the number (20) 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 21734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28658448).

21734240 is an abundant number, since it is smaller than the sum of its proper divisors (35582656).

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

21734240 is a wasteful number, since it uses less digits than its factorization.

21734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 21734240 is about 4661.9995709996. Note that the first 3 decimals coincide. The cubic root of 21734240 is about 279.0710712514.

Adding to 21734240 its reverse (4243712), we get a palindrome (25977952).

The spelling of 21734240 in words is "twenty-one million, seven hundred thirty-four thousand, two hundred forty".