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340611203461242 = 23797797115191139
BaseRepresentation
bin100110101110010001011100…
…1110010011111000001111010
31122200000010001102000110020210
41031130202321302133001322
5324121033221041224432
63204230343211531550
7131513230101326130
oct11534427162370172
91580003042013223
10340611203461242
119959044470236a
1232250896a59bb6
1311809663750c8c
1460179550a9750
15295a12bc778cc
hex135c8b9c9f07a

340611203461242 has 128 divisors (see below), whose sum is σ = 788245869035520. Its totient is φ = 96108739430400.

The previous prime is 340611203461183. The next prime is 340611203461259. The reversal of 340611203461242 is 242164302116043.

It is a self number, because there is not a number n which added to its sum of digits gives 340611203461242.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3737226109 + ... + 3737317247.

It is an arithmetic number, because the mean of its divisors is an integer number (6158170851840).

Almost surely, 2340611203461242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340611203461242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394122934517760).

340611203461242 is an abundant number, since it is smaller than the sum of its proper divisors (447634665574278).

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

340611203461242 is a wasteful number, since it uses less digits than its factorization.

340611203461242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93196.

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 340611203461242 its reverse (242164302116043), we get a palindrome (582775505577285).

The spelling of 340611203461242 in words is "three hundred forty trillion, six hundred eleven billion, two hundred three million, four hundred sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 582 679 797 1151 1358 1594 2037 2302 2391 3453 4074 4782 5579 6906 8057 11158 16114 16737 24171 33474 48342 77309 91139 111647 154618 182278 223294 231927 273417 334941 463854 541163 546834 637973 669882 781529 917347 1082326 1275946 1563058 1623489 1834694 1913919 2344587 2752041 3246978 3827838 4689174 5504082 6421429 8840483 12842858 17680966 19264287 26521449 38528574 53042898 61883381 72637783 88982659 104900989 123766762 145275566 177965318 185650143 209801978 217913349 266947977 314702967 371300286 435826698 508464481 533895954 622878613 629405934 734306923 1016928962 1245757226 1468613846 1525393443 1868635839 2202920769 3050786886 3737271678 4405841538 7045864951 10175395933 14091729902 20350791866 21137594853 30526187799 42275189706 49321054657 61052375598 71227771531 83606088233 98642109314 142455543062 147963163971 167212176466 213683314593 250818264699 295926327942 427366629186 501636529398 585242617631 1170485235262 1755727852893 3511455705786 8109790558601 16219581117202 24329371675803 48658743351606 56768533910207 113537067820414 170305601730621 340611203461242