14034384 has 300 divisors, whose sum is σ = 53879364. Its totient is φ = 3483648.

The previous prime is 14034353. The next prime is 14034421. The reversal of 14034384 is 48343041.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 7683984 = 2520^2 + 2772^2 .

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

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 59 ways as a sum of consecutive naturals, for example, 825544 + ... + 825560.

Almost surely, 2^14034384 is an apocalyptic number.

14034384 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 14034384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26939682).

14034384 is an abundant number, since it is smaller than the sum of its proper divisors (39844980).

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

14034384 is a wasteful number, since it uses less digits than its factorization.

14034384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

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

The square root of 14034384 is about 3746.2493243243. The cubic root of 14034384 is about 241.2113754195.

The spelling of 14034384 in words is "fourteen million, thirty-four thousand, three hundred eighty-four".