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14164434 = 23217411129
BaseRepresentation
bin110110000010…
…000111010010
3222122121221200
4312002013102
512111230214
61223332030
7231252504
oct66020722
928577850
1014164434
117aa4a49
1248b1016
132c1c22b
141c49d74
15139bd09
hexd821d2

14164434 has 48 divisors (see below), whose sum is σ = 33316920. Its totient is φ = 4331520.

The previous prime is 14164421. The next prime is 14164459. The reversal of 14164434 is 43446141.

14164434 is a `hidden beast` number, since 14 + 1 + 644 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7273809 + 6890625 = 2697^2 + 2625^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14164398 and 14164407.

It is a congruent number.

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, 11982 + ... + 13110.

Almost surely, 214164434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14164434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658460).

14164434 is an abundant number, since it is smaller than the sum of its proper divisors (19152486).

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

14164434 is a wasteful number, since it uses less digits than its factorization.

14164434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1192 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 14164434 is about 3763.5666594336. The cubic root of 14164434 is about 241.9541497272.

The spelling of 14164434 in words is "fourteen million, one hundred sixty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1129 1394 2091 2258 3387 4182 6273 6774 10161 12546 19193 20322 38386 46289 57579 92578 115158 138867 172737 277734 345474 416601 786913 833202 1573826 2360739 4721478 7082217 14164434