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343165302013352 = 237138214877117727
BaseRepresentation
bin100111000000110110110010…
…1111011001111110110101000
31200000001021121221001012121112
41032001231211323033312220
5324434410014303411402
63213503544031525452
7132165606042655040
oct11601554573176650
91600037557035545
10343165302013352
119a38565075a545
12325a3899389888
131196347004bca0
1460a5409958720
1529a17b4e6de52
hex1381b65ecfda8

343165302013352 has 128 divisors (see below), whose sum is σ = 793053820016640. Its totient is φ = 135563391452160.

The previous prime is 343165302013351. The next prime is 343165302013381. The reversal of 343165302013352 is 253310203561343.

It is not an unprimeable number, because it can be changed into a prime (343165302013351) 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, 2914865513 + ... + 2914983239.

It is an arithmetic number, because the mean of its divisors is an integer number (6195732968880).

Almost surely, 2343165302013352 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 343165302013352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396526910008320).

343165302013352 is an abundant number, since it is smaller than the sum of its proper divisors (449888518003288).

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

343165302013352 is a wasteful number, since it uses less digits than its factorization.

343165302013352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123451 (or 123447 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 41.

Adding to 343165302013352 its reverse (253310203561343), we get a palindrome (596475505574695).

The spelling of 343165302013352 in words is "three hundred forty-three trillion, one hundred sixty-five billion, three hundred two million, thirteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 821 1642 3284 4877 5747 6568 9754 10673 11494 19508 21346 22988 34139 39016 42692 45976 63401 68278 74711 85384 117727 126802 136556 149422 235454 253604 273112 298844 443807 470908 507208 597688 824089 887614 941816 1530451 1648178 1775228 3060902 3296356 3550456 4004017 6121804 6592712 8008034 10713157 12243608 16016068 21426314 28028119 32032136 42852628 52052221 56056238 85705256 96653867 104104442 112112476 193307734 208208884 224224952 364365547 386615468 416417768 574154579 676577069 728731094 773230936 1148309158 1256500271 1353154138 1457462188 2296618316 2513000542 2706308276 2914924376 4019082053 4593236632 5026001084 5412616552 7464009527 8038164106 8795501897 10052002168 14928019054 16076328212 17591003794 29856038108 32152656424 35182007588 52248066689 59712076216 70364015176 104496133378 208992266756 417984533512 471380909359 942761818718 1885523637436 3299666365513 3771047274872 6127951821667 6599332731026 12255903643334 13198665462052 24511807286668 26397330924104 42895662751669 49023614573336 85791325503338 171582651006676 343165302013352