13834240 has 96 divisors (see below), whose sum is σ = 38132640. Its totient is φ = 4718592.

The previous prime is 13834231. The next prime is 13834283. The reversal of 13834240 is 4243831.

It is a congruent number.

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, 71584 + ... + 71776.

It is an arithmetic number, because the mean of its divisors is an integer number (397215).

Almost surely, 2^13834240 is an apocalyptic number.

13834240 is a gapful number since it is divisible by the number (10) 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 13834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066320).

13834240 is an abundant number, since it is smaller than the sum of its proper divisors (24298400).

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

13834240 is an equidigital number, since it uses as much as digits as its factorization.

13834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 13834240 is about 3719.4408181876. The cubic root of 13834240 is about 240.0592446334.

The spelling of 13834240 in words is "thirteen million, eight hundred thirty-four thousand, two hundred forty".