Search a number
-
+
14284305 = 3257137331
BaseRepresentation
bin110110011111…
…011000010001
3222212201101100
4312133120101
512124044210
61230055013
7232262130
oct66373021
928781340
1014284305
118077012
12494a469
132c61969
141c7b917
1513c25c0
hexd9f611

14284305 has 48 divisors (see below), whose sum is σ = 28589184. Its totient is φ = 6462720.

The previous prime is 14284289. The next prime is 14284307. The reversal of 14284305 is 50348241.

It is not a de Polignac number, because 14284305 - 24 = 14284289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14284307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42990 + ... + 43320.

It is an arithmetic number, because the mean of its divisors is an integer number (595608).

Almost surely, 214284305 is an apocalyptic number.

14284305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14284305 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

14284305 is a wasteful number, since it uses less digits than its factorization.

14284305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 14284305 is about 3779.4582945179. The cubic root of 14284305 is about 242.6347711554.

The spelling of 14284305 in words is "fourteen million, two hundred eighty-four thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 137 315 331 411 685 959 993 1233 1655 2055 2317 2877 2979 4795 4965 6165 6951 8631 11585 14385 14895 20853 34755 43155 45347 104265 136041 226735 317429 408123 680205 952287 1587145 2040615 2856861 4761435 14284305