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322340134212 = 223223235274799
BaseRepresentation
bin1001011000011001111…
…10000001110101000100
31010211000102211102122100
410230030332001311010
520240123033243322
6404025255432100
732200613635065
oct4541476016504
91124012742570
10322340134212
11114781669838
125257b085630
1324520291335
141185c14256c
1585b8ac7dac
hex4b0cf81d44

322340134212 has 108 divisors (see below), whose sum is σ = 852189811200. Its totient is φ = 102724565856.

The previous prime is 322340134187. The next prime is 322340134217. The reversal of 322340134212 is 212431043223.

322340134212 is a `hidden beast` number, since 3 + 2 + 234 + 0 + 1 + 3 + 421 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (322340134217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67165789 + ... + 67170587.

It is an arithmetic number, because the mean of its divisors is an integer number (7890646400).

Almost surely, 2322340134212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322340134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426094905600).

322340134212 is an abundant number, since it is smaller than the sum of its proper divisors (529849676988).

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

322340134212 is a wasteful number, since it uses less digits than its factorization.

322340134212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 322340134212 its reverse (212431043223), we get a palindrome (534771177435).

The spelling of 322340134212 in words is "three hundred twenty-two billion, three hundred forty million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 3527 4761 4799 6348 7054 9522 9598 10581 14108 14397 19044 19196 21162 28794 31743 42324 43191 57588 63486 81121 86382 110377 126972 162242 172764 220754 243363 324484 331131 441508 486726 662262 730089 973452 993393 1324524 1460178 1865783 1986786 2538671 2920356 3731566 3973572 5077342 5597349 7463132 7616013 10154684 11194698 15232026 16792047 16926073 22389396 22848039 30464052 33584094 33852146 45696078 50778219 67168188 67704292 91392156 101556438 152334657 203112876 304669314 389299679 609338628 778599358 1167899037 1557198716 2335798074 3503697111 4671596148 7007394222 8953892617 14014788444 17907785234 26861677851 35815570468 53723355702 80585033553 107446711404 161170067106 322340134212