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340112554938 = 233132713734793
BaseRepresentation
bin1001111001100000100…
…10011011101110111010
31012111220000202221121000
410330300102123232322
521033022303224223
6420125012225430
733400210005552
oct4746022335672
91174800687530
10340112554938
11121271741552
1255abb00b276
13260c32cc410
141266664c162
158ca8eca543
hex4f3049bbba

340112554938 has 128 divisors (see below), whose sum is σ = 819309173760. Its totient is φ = 103962631680.

The previous prime is 340112554931. The next prime is 340112554949. The reversal of 340112554938 is 839455211043.

340112554938 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 1 + 2 + 554 + 93 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 340112554893 and 340112554902.

It is not an unprimeable number, because it can be changed into a prime (340112554931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70957870 + ... + 70962662.

It is an arithmetic number, because the mean of its divisors is an integer number (6400852920).

Almost surely, 2340112554938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340112554938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409654586880).

340112554938 is an abundant number, since it is smaller than the sum of its proper divisors (479196618822).

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

340112554938 is a wasteful number, since it uses less digits than its factorization.

340112554938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 340112554938 in words is "three hundred forty billion, one hundred twelve million, five hundred fifty-four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 271 351 373 542 702 746 813 1119 1626 2238 2439 3357 3523 4793 4849 4878 6714 7046 7317 9586 9698 10071 10569 14379 14547 14634 20142 21138 28758 29094 31707 43137 43641 62309 63414 86274 87282 95121 101083 124618 129411 130923 186927 190242 202166 258822 261846 303249 373854 560781 606498 909747 1121562 1298903 1314079 1682343 1787789 1819494 2597806 2628158 2729241 3364686 3575578 3896709 3942237 5363367 5458482 7793418 7884474 10726734 11690127 11826711 16090101 16885739 23241257 23380254 23653422 32180202 33771478 35070381 35480133 46482514 48270303 50657217 69723771 70140762 70960266 96540606 101314434 139447542 151971651 209171313 303943302 418342626 455914953 484490819 627513939 911829906 968981638 1255027878 1453472457 2906944914 4360417371 6298380647 8720834742 12596761294 13081252113 18895141941 26162504226 37790283882 56685425823 113370851646 170056277469 340112554938