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343342101243344 = 24753711103738583
BaseRepresentation
bin100111000010001001000111…
…1111110110010010111010000
31200000200011222100222122211212
41032010102033332302113100
5330000304110404241334
63214121103412555252
7132214435224430130
oct11604221776622720
91600604870878755
10343342101243344
119a443627272855
1232611bbb022b28
1311977037815388
1460adbbc608ac0
1529a61b1675ece
hex138448ffb25d0

343342101243344 has 160 divisors (see below), whose sum is σ = 786225102372864. Its totient is φ = 142207641838080.

The previous prime is 343342101243331. The next prime is 343342101243359. The reversal of 343342101243344 is 443342101243343.

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, 464496677 + ... + 465235259.

Almost surely, 2343342101243344 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 343342101243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393112551186432).

343342101243344 is an abundant number, since it is smaller than the sum of its proper divisors (442883001129520).

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

343342101243344 is a wasteful number, since it uses less digits than its factorization.

343342101243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739825 (or 739819 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 41.

Adding to 343342101243344 its reverse (443342101243343), we get a palindrome (786684202486687).

Subtracting 343342101243344 from its reverse (443342101243343), we obtain a palindrome (99999999999999).

The spelling of 343342101243344 in words is "three hundred forty-three trillion, three hundred forty-two billion, one hundred one million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 71 106 112 142 212 284 371 424 497 568 742 848 994 1103 1136 1484 1988 2206 2968 3763 3976 4412 5936 7526 7721 7952 8824 15052 15442 17648 26341 30104 30884 52682 58459 60208 61768 78313 105364 116918 123536 156626 210728 233836 313252 409213 421456 467672 548191 626504 738583 818426 935344 1096382 1253008 1477166 1636852 2192764 2954332 3273704 4150589 4385528 5170081 5908664 6547408 8301178 8771056 10340162 11817328 16602356 20680324 29054123 33204712 39144899 41360648 52439393 58108246 66409424 78289798 82721296 104878786 116216492 156579596 209757572 232432984 274014293 313159192 367075751 419515144 464865968 548028586 626318384 734151502 814657049 839030288 1096057172 1468303004 1629314098 2192114344 2779287829 2936606008 3258628196 4384228688 5558575658 5702599343 5873212016 6517256392 11117151316 11405198686 13034512784 19455014803 22234302632 22810397372 38910029606 43176823597 44468605264 45620794744 57840650479 77820059212 86353647194 91241589488 115681300958 155640118424 172707294388 231362601916 302237765179 311280236848 345414588776 404884553353 462725203832 604475530358 690829177552 809769106706 925450407664 1208951060716 1619538213412 2417902121432 3065554475387 3239076426824 4835804242864 6131108950774 6478152853648 12262217901548 21458881327709 24524435803096 42917762655418 49048871606192 85835525310836 171671050621672 343342101243344