14348040 has 256 divisors, whose sum is σ = 55296000. Its totient is φ = 2903040.

The previous prime is 14348039. The next prime is 14348083. The reversal of 14348040 is 4084341.

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 14348040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462825 + ... + 462855.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 2^14348040 is an apocalyptic number.

14348040 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 14348040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648000).

14348040 is an abundant number, since it is smaller than the sum of its proper divisors (40947960).

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

14348040 is a wasteful number, since it uses less digits than its factorization.

14348040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

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

The square root of 14348040 is about 3787.8806739389. The cubic root of 14348040 is about 242.9951056610.

The spelling of 14348040 in words is "fourteen million, three hundred forty-eight thousand, forty".