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14346 = 232797
BaseRepresentation
bin11100000001010
3201200100
43200022
5424341
6150230
756553
oct34012
921610
1014346
11a862
128376
1366b7
14532a
1543b6
hex380a

14346 has 12 divisors (see below), whose sum is σ = 31122. Its totient is φ = 4776.

The previous prime is 14341. The next prime is 14347. The reversal of 14346 is 64341.

It can be written as a sum of positive squares in only one way, i.e., 12321 + 2025 = 111^2 + 45^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 797 = 14346 / (1 + 4 + 3 + 4 + 6).

It is a d-powerful number, because it can be written as 1 + 4 + 38 + 4 + 65 .

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (14341) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 381 + ... + 416.

214346 is an apocalyptic number.

14346 is an abundant number, since it is smaller than the sum of its proper divisors (16776).

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

14346 is a wasteful number, since it uses less digits than its factorization.

14346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 14346 is about 119.7747886661. The cubic root of 14346 is about 24.2983588792.

14346 divided by its sum of digits (18) gives a palindrome (797).

Adding to 14346 its reverse (64341), we get a palindrome (78687).

The spelling of 14346 in words is "fourteen thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 797 1594 2391 4782 7173 14346