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343020023303144 = 231141472861707029
BaseRepresentation
bin100110111111110011001001…
…0101000111100101111101000
31122222112101122012112001202212
41031333212102220330233220
5324430020001431200034
63213313120120544252
7132152243643212045
oct11577462250745750
91588471565461685
10343020023303144
119a329a7a706290
123257b6b3922088
1311952859975b35
14609c3872381cc
15299cb10ae02ce
hex137f992a3cbe8

343020023303144 has 128 divisors (see below), whose sum is σ = 734294886796800. Its totient is φ = 148826565888000.

The previous prime is 343020023303143. The next prime is 343020023303173. The reversal of 343020023303144 is 441303320020343.

It is a self number, because there is not a number n which added to its sum of digits gives 343020023303144.

It is not an unprimeable number, because it can be changed into a prime (343020023303143) 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, 484803422 + ... + 485510450.

It is an arithmetic number, because the mean of its divisors is an integer number (5736678803100).

Almost surely, 2343020023303144 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 343020023303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367147443398400).

343020023303144 is an abundant number, since it is smaller than the sum of its proper divisors (391274863493656).

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

343020023303144 is a wasteful number, since it uses less digits than its factorization.

343020023303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709995 (or 709991 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 343020023303144 its reverse (441303320020343), we get a palindrome (784323343323487).

The spelling of 343020023303144 in words is "three hundred forty-three trillion, twenty billion, twenty-three million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 164 188 328 376 451 517 902 1034 1804 1927 2068 2861 3608 3854 4136 5722 7708 11444 15416 21197 22888 31471 42394 62942 84788 117301 125884 134467 169576 234602 251768 268934 469204 537868 707029 938408 1075736 1290311 1414058 1479137 2580622 2828116 2958274 5161244 5513147 5656232 5916548 7777319 10322488 11026294 11833096 15554638 22052588 28988189 31109276 33230363 44105176 57976378 60644617 62218552 66460726 115952756 121289234 132921452 231905512 242578468 265842904 318870079 365533993 485156936 637740158 731067986 1275480316 1362444883 1462135972 2022809969 2550960632 2724889766 2924271944 4045619938 5449779532 8091239876 10899559064 14986893713 16182479752 22250909659 29973787426 44501819318 59947574852 82935208729 89003638636 95072068543 119895149704 165870417458 178007277272 190144137086 331740834916 380288274172 663481669832 760576548344 912287296019 1045792753973 1824574592038 2091585507946 3649149184076 3897954810263 4183171015892 7298298368152 7795909620526 8366342031784 15591819241052 31183638482104 42877502912893 85755005825786 171510011651572 343020023303144