14434000 has 80 divisors (see below), whose sum is σ = 39926016. Its totient is φ = 4944000.

The previous prime is 14433997. The next prime is 14434031. The reversal of 14434000 is 43441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 13485 + ... + 14515.

Almost surely, 2^14434000 is an apocalyptic number.

14434000 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 14434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19963008).

14434000 is an abundant number, since it is smaller than the sum of its proper divisors (25492016).

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

14434000 is a wasteful number, since it uses less digits than its factorization.

14434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 14434000 is about 3799.2104442897. The cubic root of 14434000 is about 243.4794060505.

Adding to 14434000 its reverse (43441), we get a palindrome (14477441).

The spelling of 14434000 in words is "fourteen million, four hundred thirty-four thousand".