Search a number
-
+
34342213422 = 23112329711013
BaseRepresentation
bin11111111110111101…
…001001011100101110
310021122100221012101110
4133332331021130232
51030313101312142
623435424452450
72324013666126
oct377675113456
9107570835343
1034342213422
1113623314270
1267a517a126
133313b7475a
14193adddc86
15d5ee4a99c
hex7fef4972e

34342213422 has 96 divisors (see below), whose sum is σ = 78485936256. Its totient is φ = 9934196800.

The previous prime is 34342213397. The next prime is 34342213481. The reversal of 34342213422 is 22431224343.

It is a self number, because there is not a number n which added to its sum of digits gives 34342213422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33900988 + ... + 33902000.

It is an arithmetic number, because the mean of its divisors is an integer number (817561836).

Almost surely, 234342213422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34342213422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39242968128).

34342213422 is an abundant number, since it is smaller than the sum of its proper divisors (44143722834).

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

34342213422 is a wasteful number, since it uses less digits than its factorization.

34342213422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2023 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 34342213422 its reverse (22431224343), we get a palindrome (56773437765).

The spelling of 34342213422 in words is "thirty-four billion, three hundred forty-two million, two hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 971 1013 1058 1518 1587 1942 2026 2913 3039 3174 5819 5826 6078 10681 11143 11638 17457 21362 22286 22333 23299 32043 33429 34914 44666 46598 64086 66858 66999 69897 133998 139794 245663 256289 491326 512578 513659 535877 736989 768867 983623 1027318 1071754 1473978 1537734 1540977 1607631 1967246 2950869 3081954 3215262 5650249 5894647 5901738 10819853 11300498 11789294 16950747 17683941 21639706 22623329 32459559 33901494 35367882 45246658 64919118 67869987 135739974 248856619 497713238 520336567 746569857 1040673134 1493139714 1561009701 3122019402 5723702237 11447404474 17171106711 34342213422