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13876434 = 2341113599
BaseRepresentation
bin110100111011…
…110011010010
3222002222220000
4310323303102
512023021214
61213230430
7225643035
oct64736322
928088800
1013876434
117918630
124792416
132b4b110
141bb301c
151341809
hexd3bcd2

13876434 has 80 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3875040.

The previous prime is 13876433. The next prime is 13876451. The reversal of 13876434 is 43467831.

13876434 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 643 + 4 = 666.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (13876433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22867 + ... + 23465.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 213876434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13876434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

13876434 is an abundant number, since it is smaller than the sum of its proper divisors (22713966).

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

13876434 is a wasteful number, since it uses less digits than its factorization.

13876434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13876434 is about 3725.1085890213. The cubic root of 13876434 is about 240.3030546634.

The spelling of 13876434 in words is "thirteen million, eight hundred seventy-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 599 702 858 891 1053 1198 1287 1782 1797 2106 2574 3594 3861 5391 6589 7722 7787 10782 11583 13178 15574 16173 19767 23166 23361 32346 39534 46722 48519 59301 70083 85657 97038 118602 140166 171314 177903 210249 256971 355806 420498 513942 533709 630747 770913 1067418 1261494 1541826 2312739 4625478 6938217 13876434