Search a number
-
+
14265342 = 2337132903
BaseRepresentation
bin110110011010…
…101111111110
3222211202101000
4312122233332
512122442332
61225431130
7232152630
oct66325776
928752330
1014265342
118063843
12493b4a6
132c56140
141c74a50
1513bbb7c
hexd9abfe

14265342 has 64 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3760992.

The previous prime is 14265337. The next prime is 14265343. The reversal of 14265342 is 24356241.

14265342 is a `hidden beast` number, since 1 + 4 + 2 + 653 + 4 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14265343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3463 + ... + 6365.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 214265342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14265342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

14265342 is an abundant number, since it is smaller than the sum of its proper divisors (24764418).

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

14265342 is a wasteful number, since it uses less digits than its factorization.

14265342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2928 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 14265342 is about 3776.9487685167. The cubic root of 14265342 is about 242.5273544089.

It can be divided in two parts, 14 and 265342, that added together give a triangular number (265356 = T728).

The spelling of 14265342 in words is "fourteen million, two hundred sixty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 2903 4914 5806 8709 17418 20321 26127 37739 40642 52254 60963 75478 78381 113217 121926 156762 182889 226434 264173 339651 365778 528346 548667 679302 792519 1018953 1097334 1585038 2037906 2377557 4755114 7132671 14265342