14382240 has 144 divisors (see below), whose sum is σ = 48390048. Its totient is φ = 3589632.

The previous prime is 14382229. The next prime is 14382283. The reversal of 14382240 is 4228341.

14382240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14382240.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173239 + ... + 173321.

It is an arithmetic number, because the mean of its divisors is an integer number (336042).

Almost surely, 2^14382240 is an apocalyptic number.

14382240 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 14382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24195024).

14382240 is an abundant number, since it is smaller than the sum of its proper divisors (34007808).

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

14382240 is a wasteful number, since it uses less digits than its factorization.

14382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14382240 is about 3792.3923847619. The cubic root of 14382240 is about 243.1880202432.

The spelling of 14382240 in words is "fourteen million, three hundred eighty-two thousand, two hundred forty".