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12434214 = 23132329239
BaseRepresentation
bin101111011011…
…101100100110
3212101201112110
4233123230212
511140343324
61122301450
7210455232
oct57335446
925351473
1012434214
117023011
1241b7886
132764830
1419195c2
151159329
hexbdbb26

12434214 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3518592.

The previous prime is 12434207. The next prime is 12434231. The reversal of 12434214 is 41243421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51907 + ... + 52145.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 212434214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12434214 is an abundant number, since it is smaller than the sum of its proper divisors (16596186).

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

12434214 is a wasteful number, since it uses less digits than its factorization.

12434214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

The product of its digits is 768, while the sum is 21.

The square root of 12434214 is about 3526.2180874132. The cubic root of 12434214 is about 231.6715899327.

Adding to 12434214 its reverse (41243421), we get a palindrome (53677635).

The spelling of 12434214 in words is "twelve million, four hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 69 78 87 138 174 239 299 377 478 598 667 717 754 897 1131 1334 1434 1794 2001 2262 3107 4002 5497 6214 6931 8671 9321 10994 13862 16491 17342 18642 20793 26013 32982 41586 52026 71461 90103 142922 159413 180206 214383 270309 318826 428766 478239 540618 956478 2072369 4144738 6217107 12434214