Search a number
-
+
14789346 = 23112131567
BaseRepresentation
bin111000011010…
…101011100010
31000211101011120
4320122223202
512241224341
61244553110
7236464425
oct70325342
930741146
1014789346
118391500
124b52796
1330aa7c0
141d6d9bc
151472066
hexe1aae2

14789346 has 48 divisors (see below), whose sum is σ = 35035392. Its totient is φ = 4134240.

The previous prime is 14789339. The next prime is 14789363. The reversal of 14789346 is 64398741.

14789346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14789298 and 14789307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8655 + ... + 10221.

It is an arithmetic number, because the mean of its divisors is an integer number (729904).

Almost surely, 214789346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14789346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17517696).

14789346 is an abundant number, since it is smaller than the sum of its proper divisors (20246046).

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

14789346 is a wasteful number, since it uses less digits than its factorization.

14789346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1596 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 14789346 is about 3845.6918753327. The cubic root of 14789346 is about 245.4612773063.

The spelling of 14789346 in words is "fourteen million, seven hundred eighty-nine thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1567 1573 3134 3146 4701 4719 9402 9438 17237 20371 34474 40742 51711 61113 103422 122226 189607 224081 379214 448162 568821 672243 1137642 1344486 2464891 4929782 7394673 14789346