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344342105505 = 34531128321377
BaseRepresentation
bin1010000001011000110…
…00111000110110100001
31012220210210102101020000
411000230120320312201
521120203034334010
6422104422210213
733610055414016
oct5005430706641
91186723371200
10344342105505
11123042161492
125689b583969
1326618653668
141294827770d
158e554957c0
hex502c638da1

344342105505 has 80 divisors (see below), whose sum is σ = 637703345664. Its totient is φ = 177578127360.

The previous prime is 344342105483. The next prime is 344342105531. The reversal of 344342105505 is 505501243443.

344342105505 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 42 + 105 + 505 = 666.

It is not a de Polignac number, because 344342105505 - 28 = 344342105249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344342105505.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16097377 + ... + 16118753.

Almost surely, 2344342105505 is an apocalyptic number.

It is an amenable number.

344342105505 is a deficient number, since it is larger than the sum of its proper divisors (293361240159).

344342105505 is a wasteful number, since it uses less digits than its factorization.

344342105505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22708 (or 22699 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 344342105505 its reverse (505501243443), we get a palindrome (849843348948).

The spelling of 344342105505 in words is "three hundred forty-four billion, three hundred forty-two million, one hundred five thousand, five hundred five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 279 405 465 837 1283 1395 2511 3849 4185 6415 11547 12555 19245 21377 34641 39773 57735 64131 103923 106885 119319 173205 192393 198865 320655 357957 519615 577179 596595 662687 961965 1073871 1731537 1789785 1988061 2885895 3221613 3313435 5369355 5964183 8657685 9940305 16108065 17892549 27426691 29820915 53677647 82280073 89462745 137133455 246840219 268388235 411400365 740520657 850227421 1234201095 2221561971 2550682263 3702603285 4251137105 7652046789 11107809855 12753411315 22956140367 38260233945 68868421101 114780701835 344342105505