16434144 has 96 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 5233536.

The previous prime is 16434139. The next prime is 16434151. The reversal of 16434144 is 44143461.

16434144 = T₃₆₇ + T₃₆₈ + ... + T₅₂₈.

16434144 is a `hidden beast` number, since 1 + 643 + 4 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19459 + ... + 20285.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 2^16434144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

16434144 is an abundant number, since it is smaller than the sum of its proper divisors (33643296).

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

16434144 is a wasteful number, since it uses less digits than its factorization.

16434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 16434144 is about 4053.9047842790. The cubic root of 16434144 is about 254.2430145747.

The spelling of 16434144 in words is "sixteen million, four hundred thirty-four thousand, one hundred forty-four".