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34974047943 = 333799135327
BaseRepresentation
bin100000100100100111…
…011001111011000111
310100021101211201102000
4200210213121323013
51033111324013233
624022235120343
72345455334232
oct404447317307
9110241751360
1034974047943
1113917a3595a
1269408a30b3
1333b4a38333
14199acb2419
15d9a655d13
hex8249d9ec7

34974047943 has 32 divisors (see below), whose sum is σ = 53268971520. Its totient is φ = 22662335520.

The previous prime is 34974047939. The next prime is 34974047951.

34974047943 is a `hidden beast` number, since 3 + 4 + 97 + 40 + 479 + 43 = 666.

34974047943 is nontrivially palindromic in base 10.

34974047943 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34974047943 - 22 = 34974047939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34974047943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34974047903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972346 + ... + 1007672.

It is an arithmetic number, because the mean of its divisors is an integer number (1664655360).

Almost surely, 234974047943 is an apocalyptic number.

34974047943 is a deficient number, since it is larger than the sum of its proper divisors (18294923577).

34974047943 is a wasteful number, since it uses less digits than its factorization.

34974047943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36364 (or 36358 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 34974047943 in words is "thirty-four billion, nine hundred seventy-four million, forty-seven thousand, nine hundred forty-three".

Divisors: 1 3 9 27 37 111 333 991 999 2973 8919 26757 35327 36667 105981 110001 317943 330003 953829 990009 1307099 3921297 11763891 35009057 35291673 105027171 315081513 945244539 1295335109 3886005327 11658015981 34974047943