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3434434371067 = 74373883177013
BaseRepresentation
bin110001111110100100001…
…111011001110111111011
3110011022212122011221100111
4301332210033121313323
5422232210144333232
611145431331445151
7503062325324350
oct61764417316773
913138778157314
103434434371067
111104598737787
124757491567b7
131bbb3413ba2b
14bc328408627
155e50e1de047
hex31fa43d9dfb

3434434371067 has 32 divisors (see below), whose sum is σ = 4076000834048. Its totient is φ = 2832724452096.

The previous prime is 3434434371061. The next prime is 3434434371101. The reversal of 3434434371067 is 7601734344343.

It is a de Polignac number, because none of the positive numbers 2k-3434434371067 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3434434371067.

It is not an unprimeable number, because it can be changed into a prime (3434434371061) 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, 19313653 + ... + 19490665.

It is an arithmetic number, because the mean of its divisors is an integer number (127375026064).

Almost surely, 23434434371067 is an apocalyptic number.

3434434371067 is a deficient number, since it is larger than the sum of its proper divisors (641566462981).

3434434371067 is a wasteful number, since it uses less digits than its factorization.

3434434371067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178019.

The product of its (nonzero) digits is 6096384, while the sum is 49.

The spelling of 3434434371067 in words is "three trillion, four hundred thirty-four billion, four hundred thirty-four million, three hundred seventy-one thousand, sixty-seven".

Divisors: 1 7 43 73 301 511 883 3139 6181 21973 37969 64459 177013 265783 451213 1239091 2771737 7611559 12921949 19402159 53280913 90453643 156302479 555643807 1094117353 3889506649 6721006597 11410080967 47047046179 79870566769 490633481581 3434434371067