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10340112342 = 2372941792621
BaseRepresentation
bin10011010000101000…
…11001011111010110
3222200121202010112210
421220110121133112
5132134032043332
64430012254250
7514144335060
oct115024313726
928617663483
1010340112342
1144267a649a
122006a71386
13c8a2c0c91
147013b8730
15407b91ecc
hex2685197d6

10340112342 has 128 divisors (see below), whose sum is σ = 25372569600. Its totient is φ = 2746598400.

The previous prime is 10340112337. The next prime is 10340112353. The reversal of 10340112342 is 24321104301.

10340112342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3943792 + ... + 3946412.

It is an arithmetic number, because the mean of its divisors is an integer number (198223200).

Almost surely, 210340112342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340112342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12686284800).

10340112342 is an abundant number, since it is smaller than the sum of its proper divisors (15032457258).

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

10340112342 is a wasteful number, since it uses less digits than its factorization.

10340112342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10340112342 its reverse (24321104301), we get a palindrome (34661216643).

The spelling of 10340112342 in words is "ten billion, three hundred forty million, one hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 41 42 58 79 82 87 123 158 174 203 237 246 287 406 474 553 574 609 861 1106 1189 1218 1659 1722 2291 2378 2621 3239 3318 3567 4582 5242 6478 6873 7134 7863 8323 9717 13746 15726 16037 16646 18347 19434 22673 24969 32074 36694 45346 48111 49938 55041 68019 76009 93931 96222 107461 110082 136038 152018 187862 207059 214922 228027 281793 322383 414118 456054 532063 563586 621177 644766 657517 752227 1064126 1242354 1315034 1449413 1504454 1596189 1972551 2256681 2898826 3116369 3192378 3945102 4348239 4513362 6004711 6232738 8489419 8696478 9349107 12009422 16978838 18014133 18698214 21814583 25468257 36028266 42032977 43629166 50936514 59425933 65443749 84065954 118851866 126098931 130887498 178277799 246193151 252197862 356555598 492386302 738579453 1477158906 1723352057 3446704114 5170056171 10340112342