14434680 has 128 divisors (see below), whose sum is σ = 49190400. Its totient is φ = 3359232.

The previous prime is 14434669. The next prime is 14434697. The reversal of 14434680 is 8643441.

14434680 = 153² + 154² + ... + 360².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29397 + ... + 29883.

It is an arithmetic number, because the mean of its divisors is an integer number (384300).

Almost surely, 2^14434680 is an apocalyptic number.

14434680 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 14434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24595200).

14434680 is an abundant number, since it is smaller than the sum of its proper divisors (34755720).

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

14434680 is a wasteful number, since it uses less digits than its factorization.

14434680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14434680 is about 3799.2999355144. The cubic root of 14434680 is about 243.4832295089.

The spelling of 14434680 in words is "fourteen million, four hundred thirty-four thousand, six hundred eighty".