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344121323024034 = 232353114343473647
BaseRepresentation
bin100111000111110011111110…
…1001101111110111010100010
31200010102200021200020111101100
41032033213331031332322202
5330101040432143232114
63215515053044015230
7132324642116325243
oct11617477515767242
91603380250214340
10344121323024034
119a714040693876
1232719026991516
1311a02669abc00a
1460d97bd18ccca
1529bb5ba728909
hex138f9fd37eea2

344121323024034 has 48 divisors (see below), whose sum is σ = 747716488227072. Its totient is φ = 114380916528384.

The previous prime is 344121323024033. The next prime is 344121323024077. The reversal of 344121323024034 is 430420323121443.

344121323024034 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 2 + 13 + 230 + 2 + 403 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 344121323024034.

It is not an unprimeable number, because it can be changed into a prime (344121323024033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726298599 + ... + 726772245.

It is an arithmetic number, because the mean of its divisors is an integer number (15577426838064).

Almost surely, 2344121323024034 is an apocalyptic number.

344121323024034 is an abundant number, since it is smaller than the sum of its proper divisors (403595165203038).

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

344121323024034 is a wasteful number, since it uses less digits than its factorization.

344121323024034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588351 (or 588348 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 344121323024034 its reverse (430420323121443), we get a palindrome (774541646145477).

The spelling of 344121323024034 in words is "three hundred forty-four trillion, one hundred twenty-one billion, three hundred twenty-three million, twenty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 353 706 1059 2118 3177 6354 114343 228686 343029 473647 686058 947294 1029087 1420941 2058174 2841882 4262823 8525646 40363079 80726158 121089237 167197391 242178474 334394782 363267711 501592173 726535422 1003184346 1504776519 3009553038 54158218921 108316437842 162474656763 324949313526 487423970289 974847940578 19117851279113 38235702558226 57353553837339 114707107674678 172060661512017 344121323024034