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34344342300411 = 3611131132915501
BaseRepresentation
bin1111100111100011010100…
…10100101010011011111011
311111121021202021011202000000
413303301222110222123323
514000144203112103121
6201013323435444043
710143203550560523
oct763615224523373
9144537667152000
1034344342300411
11aa41398967590
123a281b68b6623
131621871928c60
1486a3bc9b4683
153e8596267526
hex1f3c6a52a6fb

34344342300411 has 112 divisors (see below), whose sum is σ = 61030599874272. Its totient is φ = 19043579520000.

The previous prime is 34344342300377. The next prime is 34344342300431. The reversal of 34344342300411 is 11400324344343.

34344342300411 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 4 + 3 + 4 + 230 + 0 + 411 = 666.

It is not a de Polignac number, because 34344342300411 - 214 = 34344342284027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34344342300431) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10322161 + ... + 13237661.

It is an arithmetic number, because the mean of its divisors is an integer number (544916070306).

Almost surely, 234344342300411 is an apocalyptic number.

34344342300411 is a deficient number, since it is larger than the sum of its proper divisors (26686257573861).

34344342300411 is a wasteful number, since it uses less digits than its factorization.

34344342300411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915656 (or 2915641 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34344342300411 its reverse (11400324344343), we get a palindrome (45744666644754).

The spelling of 34344342300411 in words is "thirty-four trillion, three hundred forty-four billion, three hundred forty-two million, three hundred thousand, four hundred eleven".

Divisors: 1 3 9 11 13 27 33 39 81 99 113 117 143 243 297 339 351 429 729 891 1017 1053 1243 1287 1469 2673 3051 3159 3729 3861 4407 8019 9153 9477 11187 11583 13221 16159 27459 33561 34749 39663 48477 82377 100683 104247 118989 145431 302049 356967 436293 906147 1070901 1308879 2915501 3926637 8746503 11779911 26239509 32070511 37901513 78718527 96211533 113704539 236155581 288634599 329451613 341113617 416916643 708466743 865903797 988354839 1023340851 1250749929 2125400229 2597711391 2965064517 3070022553 3623967743 3752249787 4282870969 7793134173 8895193551 9210067659 10871903229 11256749361 12848612907 23379402519 26685580653 27630202977 32615709687 33770248083 38545838721 47111580659 80056741959 97847129061 101310744249 115637516163 141334741977 240170225877 293541387183 303932232747 346912548489 424004225931 880624161549 1040737645467 1272012677793 2641872484647 3122212936401 3816038033379 11448114100137 34344342300411