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3430342696417 = 713197873252001
BaseRepresentation
bin110001111010110000010…
…110111001110111100001
3110010221022110222022220221
4301322300112321313201
5422200320212241132
611143513325003041
7502556042551630
oct61726026716741
913127273868827
103430342696417
111102889028a8a
124749a69b3481
131bb631530080
14bc05ac2d517
155e36edaae97
hex31eb05b9de1

3430342696417 has 32 divisors (see below), whose sum is σ = 4444750795520. Its totient is φ = 2570932224000.

The previous prime is 3430342696351. The next prime is 3430342696433. The reversal of 3430342696417 is 7146962430343.

It is not a de Polignac number, because 3430342696417 - 27 = 3430342696289 is a prime.

It is a super-2 number, since 2×34303426964172 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3430342696447) by changing a digit.

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, 13486417 + ... + 13738417.

It is an arithmetic number, because the mean of its divisors is an integer number (138898462360).

Almost surely, 23430342696417 is an apocalyptic number.

It is an amenable number.

3430342696417 is a deficient number, since it is larger than the sum of its proper divisors (1014408099103).

3430342696417 is a wasteful number, since it uses less digits than its factorization.

3430342696417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259913.

The product of its (nonzero) digits is 7838208, while the sum is 52.

The spelling of 3430342696417 in words is "three trillion, four hundred thirty billion, three hundred forty-two million, six hundred ninety-six thousand, four hundred seventeen".

Divisors: 1 7 13 19 91 133 247 1729 7873 55111 102349 149587 252001 716443 1047109 1764007 1944631 3276013 4788019 13612417 22932091 33516133 62244247 435709729 1984003873 13888027111 25792050349 37696073587 180544352443 263872515109 490048956631 3430342696417