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104082342 = 237131979127
BaseRepresentation
bin1100011010000…
…10101110100110
321020211221010120
412031002232212
5203121113332
614154502410
72402454030
oct615025646
9236757116
10104082342
115382a671
122aa34a06
13187429b0
14db74c50
15920e32c
hex6342ba6

104082342 has 128 divisors (see below), whose sum is σ = 275251200. Its totient is φ = 25474176.

The previous prime is 104082331. The next prime is 104082353. The reversal of 104082342 is 243280401.

It is an interprime number because it is at equal distance from previous prime (104082331) and next prime (104082353).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819483 + ... + 819609.

It is an arithmetic number, because the mean of its divisors is an integer number (2150400).

Almost surely, 2104082342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104082342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137625600).

104082342 is an abundant number, since it is smaller than the sum of its proper divisors (171168858).

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

104082342 is a wasteful number, since it uses less digits than its factorization.

104082342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104082342 is about 10202.0753770985. The cubic root of 104082342 is about 470.3910160861.

The spelling of 104082342 in words is "one hundred four million, eighty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 79 91 114 127 133 158 182 237 247 254 266 273 381 399 474 494 546 553 741 762 798 889 1027 1106 1482 1501 1651 1659 1729 1778 2054 2413 2667 3002 3081 3302 3318 3458 4503 4826 4953 5187 5334 6162 7189 7239 9006 9906 10033 10374 10507 11557 14378 14478 16891 19513 20066 21014 21567 23114 30099 31369 31521 33782 34671 39026 43134 50673 58539 60198 62738 63042 69342 70231 94107 101346 117078 130429 136591 140462 188214 190627 210693 219583 260858 273182 381254 391287 409773 421386 439166 571881 658749 782574 819546 913003 1143762 1317498 1334389 1826006 2478151 2668778 2739009 4003167 4956302 5478018 7434453 8006334 14868906 17347057 34694114 52041171 104082342