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34200642406346 = 21337111733181921
BaseRepresentation
bin1111100011010111101010…
…01001000100011111001010
311111002112211120110202202022
413301223311021010133022
513440320403424000341
6200423320324204442
710126625541615203
oct761536511043712
9144075746422668
1034200642406346
11a996458036259
123a04391b39722
13161115067c640
14863469c325aa
153e4985800e4b
hex1f1af52447ca

34200642406346 has 32 divisors (see below), whose sum is σ = 56745455099088. Its totient is φ = 15356913223680.

The previous prime is 34200642406303. The next prime is 34200642406367. The reversal of 34200642406346 is 64360424600243.

It can be written as a sum of positive squares in 8 ways, for example, as 25594604110321 + 8606038296025 = 5059111^2 + 2933605^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34200642406297 and 34200642406306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9157466 + ... + 12339386.

Almost surely, 234200642406346 is an apocalyptic number.

34200642406346 is a deficient number, since it is larger than the sum of its proper divisors (22544812692742).

34200642406346 is a wasteful number, since it uses less digits than its factorization.

34200642406346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193146.

The product of its (nonzero) digits is 1990656, while the sum is 44.

The spelling of 34200642406346 in words is "thirty-four trillion, two hundred billion, six hundred forty-two million, four hundred six thousand, three hundred forty-six".

Divisors: 1 2 13 26 37 74 481 962 11173 22346 145249 290498 413401 826802 3181921 5374213 6363842 10748426 41364973 82729946 117731077 235462154 1530504001 3061008002 35551603333 71103206666 462170843329 924341686658 1315409323321 2630818646642 17100321203173 34200642406346