16045344 has 144 divisors (see below), whose sum is σ = 54583200. Its totient is φ = 4572288.

The previous prime is 16045339. The next prime is 16045357. The reversal of 16045344 is 44354061.

16045344 is a `hidden beast` number, since 1 + 604 + 53 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 42147 + ... + 42525.

It is an arithmetic number, because the mean of its divisors is an integer number (379050).

Almost surely, 2^16045344 is an apocalyptic number.

16045344 is a gapful number since it is divisible by the number (14) 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 16045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27291600).

16045344 is an abundant number, since it is smaller than the sum of its proper divisors (38537856).

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

16045344 is a wasteful number, since it uses less digits than its factorization.

16045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 16045344 is about 4005.6639899023. The cubic root of 16045344 is about 252.2220265466. Note that the first 3 decimals are identical.

The spelling of 16045344 in words is "sixteen million, forty-five thousand, three hundred forty-four".