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340315538706 = 2321113541724407
BaseRepresentation
bin1001111001111000110…
…00110000010100010010
31012112102011201120222100
410330330120300110102
521033431234214311
6420201103021230
733405223231143
oct4747430602422
91175364646870
10340315538706
11121366282230
1255b56b9a816
132612638c860
14126855a9aca
158cbbc23a56
hex4f3c630512

340315538706 has 96 divisors (see below), whose sum is σ = 866453148288. Its totient is φ = 95171685120.

The previous prime is 340315538579. The next prime is 340315538749. The reversal of 340315538706 is 607835513043.

340315538706 is a `hidden beast` number, since 3 + 40 + 3 + 1 + 5 + 538 + 70 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 13931155 + ... + 13955561.

It is an arithmetic number, because the mean of its divisors is an integer number (9025553628).

Almost surely, 2340315538706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340315538706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433226574144).

340315538706 is an abundant number, since it is smaller than the sum of its proper divisors (526137609582).

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

340315538706 is a wasteful number, since it uses less digits than its factorization.

340315538706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29856 (or 29853 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 340315538706 in words is "three hundred forty billion, three hundred fifteen million, five hundred thirty-eight thousand, seven hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 5417 10834 16251 24407 32502 48753 48814 59587 70421 73221 97506 119174 140842 146442 178761 211263 219663 268477 317291 357522 422526 439326 536283 536954 633789 634582 774631 805431 951873 1072566 1267578 1549262 1610862 1903746 2323893 2416293 2855619 3490201 4647786 4832586 5711238 6971679 6980402 10470603 13943358 20941206 31411809 62823618 132212719 264425438 396638157 793276314 1189914471 1454339909 1718765347 2379828942 2908679818 3437530694 4363019727 5156296041 8726039454 10312592082 13089059181 15468888123 18906418817 26178118362 30937776246 37812837634 56719256451 113438512902 170157769353 340315538706