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34340444222334 = 23293531077151907
BaseRepresentation
bin1111100111011100000011…
…11110101011001101111110
311111120220200121020212010220
413303232001332223031332
514000113212210103314
6201011440550242210
710143005135502435
oct763560176531576
9144526617225126
1034340444222334
11aa3a778567858
123a274a9356366
1316213a0171a93
1486a12cdd211c
153e8418e263a9
hex1f3b81fab37e

34340444222334 has 64 divisors (see below), whose sum is σ = 71258455261440. Its totient is φ = 11019552445440.

The previous prime is 34340444222303. The next prime is 34340444222351. The reversal of 34340444222334 is 43322244404343.

It is a super-2 number, since 2×343404442223342 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661550409 + ... + 661602315.

It is an arithmetic number, because the mean of its divisors is an integer number (1113413363460).

Almost surely, 234340444222334 is an apocalyptic number.

34340444222334 is an abundant number, since it is smaller than the sum of its proper divisors (36918011039106).

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

34340444222334 is a wasteful number, since it uses less digits than its factorization.

34340444222334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63065.

The product of its (nonzero) digits is 2654208, while the sum is 42.

Adding to 34340444222334 its reverse (43322244404343), we get a palindrome (77662688626677).

The spelling of 34340444222334 in words is "thirty-four trillion, three hundred forty billion, four hundred forty-four million, two hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 29 58 87 174 353 706 1059 2118 10237 10771 20474 21542 30711 32313 51907 61422 64626 103814 155721 311442 312359 624718 937077 1505303 1874154 3010606 3802163 4515909 7604326 9031818 11406489 18323171 22812978 36646342 54969513 109939026 110262727 220525454 330788181 531371959 559090297 661576362 1062743918 1118180594 1594115877 1677270891 3188231754 3354541782 16213618613 32427237226 48640855839 97281711678 197358874841 394717749682 592076624523 1184153249046 5723407370389 11446814740778 17170222111167 34340444222334