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34324311342343 = 11314161271148513
BaseRepresentation
bin1111100110111110000000…
…11000100111110100000111
311111112101001021101122021011
413303133000120213310013
513444332142200423333
6201000212042503051
710141564301335051
oct763370030476407
9144471037348234
1034324311342343
11aa33949a13290
123a24346504a87
13161c9cba02249
1486943c5508d1
153e7cc29339cd
hex1f37c0627d07

34324311342343 has 64 divisors (see below), whose sum is σ = 40393222668288. Its totient is φ = 28870732800000.

The previous prime is 34324311342323. The next prime is 34324311342367.

34324311342343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34324311342343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34324311342296 and 34324311342305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324311342323) 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, 231045655 + ... + 231194167.

It is an arithmetic number, because the mean of its divisors is an integer number (631144104192).

Almost surely, 234324311342343 is an apocalyptic number.

34324311342343 is a deficient number, since it is larger than the sum of its proper divisors (6068911325945).

34324311342343 is a wasteful number, since it uses less digits than its factorization.

34324311342343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148928.

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 3432431 and 1342343, that added together give a palindrome (4774774).

The spelling of 34324311342343 in words is "thirty-four trillion, three hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, three hundred forty-three".

Divisors: 1 11 31 41 61 271 341 451 671 1271 1891 2501 2981 8401 11111 13981 16531 20801 27511 77531 92411 122221 148513 181841 344441 512461 677771 852841 1633643 3788851 4603903 5637071 6089033 7455481 9059293 21010901 40247023 50642933 66979363 99652223 188760023 231119911 280838083 371431013 442717253 1247657713 1650127943 2076360253 2455068403 3089218913 4085741143 11514361403 13724234843 18151407373 27005752433 51153966233 76107120493 100657804523 126657975433 562693628563 837178325423 1107235849753 3120391940213 34324311342343