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344182565745 = 3354373980231
BaseRepresentation
bin1010000001000101110…
…00010010101101110001
31012220101200012220211000
411000202320102231301
521114341214100440
6422040522512213
733603110352354
oct5004270225561
91186350186730
10344182565745
11122a700a3947
1256856065669
13265c1594535
1412930dc829b
158e4647e730
hex5022e12b71

344182565745 has 64 divisors (see below), whose sum is σ = 626964940800. Its totient is φ = 179050253760.

The previous prime is 344182565737. The next prime is 344182565747. The reversal of 344182565745 is 547565281443.

344182565745 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 8 + 2 + 565 + 74 + 5 = 666.

It is not a de Polignac number, because 344182565745 - 23 = 344182565737 is a prime.

It is a super-2 number, since 2×3441825657452 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 344182565691 and 344182565700.

It is not an unprimeable number, because it can be changed into a prime (344182565747) 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, 4249780 + ... + 4330010.

It is an arithmetic number, because the mean of its divisors is an integer number (9796327200).

Almost surely, 2344182565745 is an apocalyptic number.

It is an amenable number.

344182565745 is a deficient number, since it is larger than the sum of its proper divisors (282782375055).

344182565745 is a wasteful number, since it uses less digits than its factorization.

344182565745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81027 (or 81021 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 344182565745 in words is "three hundred forty-four billion, one hundred eighty-two million, five hundred sixty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 43 45 129 135 215 387 645 739 1161 1935 2217 3695 5805 6651 11085 19953 31777 33255 80231 95331 99765 158885 240693 285993 401155 476655 722079 857979 1203465 1429965 2166237 3449933 3610395 4289895 10349799 10831185 17249665 31049397 51748995 59290709 93148191 155246985 177872127 296453545 465740955 533616381 889360635 1600849143 2549500487 2668081905 7648501461 8004245715 12747502435 22945504383 38242507305 68836513149 114727521915 344182565745