14034000 has 80 divisors (see below), whose sum is σ = 45264960. Its totient is φ = 3740800.

The previous prime is 14033969. The next prime is 14034019. The reversal of 14034000 is 43041.

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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4831 + ... + 7169.

It is an arithmetic number, because the mean of its divisors is an integer number (565812).

Almost surely, 2^14034000 is an apocalyptic number.

14034000 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 14034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480).

14034000 is an abundant number, since it is smaller than the sum of its proper divisors (31230960).

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

14034000 is a wasteful number, since it uses less digits than its factorization.

14034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14034000 is about 3746.1980727132. The cubic root of 14034000 is about 241.2091754414.

Adding to 14034000 its reverse (43041), we get a palindrome (14077041).

The spelling of 14034000 in words is "fourteen million, thirty-four thousand".