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34314423206646 = 23111986371316819
BaseRepresentation
bin1111100110101011100110…
…00000011000001011110110
311111111102112011010022010010
413303111303000120023312
513444201414320103041
6200551454533441050
710141064252511102
oct763256300301366
9144442464108103
1034314423206646
11aa2a735363610
123a22446aa0186
13161bab425088b
14868b811ca902
153e78e47c0a16
hex1f35730182f6

34314423206646 has 64 divisors (see below), whose sum is σ = 78809405875200. Its totient is φ = 9850885437600.

The previous prime is 34314423206579. The next prime is 34314423206669. The reversal of 34314423206646 is 64660232441343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34314423206595 and 34314423206604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108150825 + ... + 108467643.

It is an arithmetic number, because the mean of its divisors is an integer number (1231396966800).

Almost surely, 234314423206646 is an apocalyptic number.

34314423206646 is an abundant number, since it is smaller than the sum of its proper divisors (44494982668554).

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

34314423206646 is a wasteful number, since it uses less digits than its factorization.

34314423206646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403225.

The product of its (nonzero) digits is 5971968, while the sum is 48.

Adding to 34314423206646 its reverse (64660232441343), we get a palindrome (98974655647989).

The spelling of 34314423206646 in words is "thirty-four trillion, three hundred fourteen billion, four hundred twenty-three million, two hundred six thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 86371 172742 259113 316819 518226 633638 950081 950457 1641049 1900162 1900914 2850243 3282098 3485009 4923147 5700486 6019561 6970018 9846294 10455027 12039122 18051539 18058683 20910054 36103078 36117366 54154617 66215171 108309234 132430342 198645513 397291026 27363973849 54727947698 82091921547 164183843094 301003712339 519915503131 602007424678 903011137017 1039831006262 1559746509393 1806022274034 3119493018786 5719070534441 11438141068882 17157211603323 34314423206646