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343242222242344 = 231761229257703013
BaseRepresentation
bin100111000001011010100111…
…0101110101000101000101000
31200000022122011122000201000121
41032002311032232220220220
5324442140032343223334
63214003144451213024
7132204301150063315
oct11602651656505050
91600278148021017
10343242222242344
119a405233171027
12325b67858a7174
131196a7ab0bc499
1460a9025683d0c
1529a37b7d8cdb4
hex1382d4eba8a28

343242222242344 has 128 divisors (see below), whose sum is σ = 698340081722400. Its totient is φ = 157568272957440.

The previous prime is 343242222242329. The next prime is 343242222242347. The reversal of 343242222242344 is 443242222242343.

It can be written as a sum of positive squares in 16 ways, for example, as 135321337872900 + 207920884369444 = 11632770^2 + 14419462^2 .

It is a super-2 number, since 2×3432422222423442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 343242222242344.

It is not an unprimeable number, because it can be changed into a prime (343242222242347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487892982 + ... + 488595994.

Almost surely, 2343242222242344 is an apocalyptic number.

343242222242344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

343242222242344 is an abundant number, since it is smaller than the sum of its proper divisors (355097859480056).

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

343242222242344 is a wasteful number, since it uses less digits than its factorization.

343242222242344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703583 (or 703579 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 43.

Adding to 343242222242344 its reverse (443242222242343), we get a palindrome (786484444484687).

Subtracting 343242222242344 from its reverse (443242222242343), we obtain a palindrome (99999999999999).

The spelling of 343242222242344 in words is "three hundred forty-three trillion, two hundred forty-two billion, two hundred twenty-two million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 17 34 61 68 122 136 229 244 257 458 488 514 916 1028 1037 1832 2056 2074 3893 4148 4369 7786 8296 8738 13969 15572 15677 17476 27938 31144 31354 34952 55876 58853 62708 111752 117706 125416 235412 237473 266509 470824 474946 533018 703013 949892 1000501 1066036 1406026 1899784 2001002 2132072 2812052 3590033 4002004 5624104 7180066 8004008 11951221 14360132 23902442 28720264 42883793 47804884 61030561 85767586 95609768 122061122 160989977 171535172 180674341 244122244 321979954 343070344 361348682 488244488 643959908 722697364 729024481 1287919816 1445394728 1458048962 2736829609 2916097924 3071463797 5473659218 5832195848 6142927594 9820388597 10947318436 11021134801 12285855188 19640777194 21894636872 22042269602 24571710376 39281554388 41374424089 44084539204 78563108776 82748848178 88169078408 165497696356 166946606149 187359291617 330995392712 333893212298 374718583234 667786424596 703365209513 749437166468 1335572849192 1406730419026 1498874332936 2523839869429 2813460838052 5047679738858 5626921676104 10095359477716 20190718955432 42905277780293 85810555560586 171621111121172 343242222242344