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14384 = 242931
BaseRepresentation
bin11100000110000
3201201202
43200300
5430014
6150332
756636
oct34060
921652
1014384
11a897
1283a8
136716
145356
1543de
hex3830

14384 has 20 divisors (see below), whose sum is σ = 29760. Its totient is φ = 6720.

The previous prime is 14369. The next prime is 14387. The reversal of 14384 is 48341.

14384 is an admirable number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14384.

It is not an unprimeable number, because it can be changed into a prime (14387) by changing a digit.

14384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 449 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

214384 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 14384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

14384 is an abundant number, since it is smaller than the sum of its proper divisors (15376).

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

14384 is a wasteful number, since it uses less digits than its factorization.

14384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 14384 is about 119.9333148045. The cubic root of 14384 is about 24.3197939733.

The spelling of 14384 in words is "fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 14384