Search a number
-
+
343726686627344 = 241753229104119721
BaseRepresentation
bin100111000100111100001101…
…1000011100110011000010000
31200002000221122210020101220222
41032021320123003212120100
5330023104223234033334
63215013505424252212
7132254301503313536
oct11611703303463020
91602027583211828
10343726686627344
119a58173a734a89
123267464ba71068
13119a4397749457
1460c466349a156
1529b11beb5ad2e
hex1389e1b0e6610

343726686627344 has 80 divisors (see below), whose sum is σ = 721587156559920. Its totient is φ = 158008755240960.

The previous prime is 343726686627301. The next prime is 343726686627367. The reversal of 343726686627344 is 443726686627343.

It can be written as a sum of positive squares in 8 ways, for example, as 41137600099600 + 302589086527744 = 6413860^2 + 17395088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48758597 + ... + 55361124.

It is an arithmetic number, because the mean of its divisors is an integer number (9019839456999).

Almost surely, 2343726686627344 is an apocalyptic number.

343726686627344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

343726686627344 is an abundant number, since it is smaller than the sum of its proper divisors (377860469932576).

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

343726686627344 is a wasteful number, since it uses less digits than its factorization.

343726686627344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104120028 (or 104120022 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 71.

Subtracting 343726686627344 from its reverse (443726686627343), we obtain a palindrome (99999999999999).

The spelling of 343726686627344 in words is "three hundred forty-three trillion, seven hundred twenty-six billion, six hundred eighty-six million, six hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 229 272 424 458 848 901 916 1802 1832 3604 3664 3893 7208 7786 12137 14416 15572 24274 31144 48548 62288 97096 194192 206329 412658 825316 1650632 3301264 104119721 208239442 416478884 832957768 1665915536 1770035257 3540070514 5518345213 7080141028 11036690426 14160282056 22073380852 23843416109 28320564112 44146761704 47686832218 88293523408 93811868621 95373664436 187623737242 190747328872 375247474484 381494657744 405338073853 750494948968 810676147706 1263701053777 1500989897936 1621352295412 2527402107554 3242704590824 5054804215108 6485409181648 10109608430216 20219216860432 21482917914209 42965835828418 85931671656836 171863343313672 343726686627344