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34116018343 = 1126997711801
BaseRepresentation
bin11111110001011110…
…010010000010100111
310021001121022022001221
4133301132102002213
51024332200041333
623401144401211
72315266241221
oct376136220247
9107047268057
1034116018343
111351766a590
126741476207
1332a9048304
141918d5d411
15d4a169d2d
hex7f17920a7

34116018343 has 16 divisors (see below), whose sum is σ = 37397233440. Its totient is φ = 30865024000.

The previous prime is 34116018331. The next prime is 34116018367. The reversal of 34116018343 is 34381061143.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34116018343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34116018299 and 34116018308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34116018143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2885043 + ... + 2896843.

It is an arithmetic number, because the mean of its divisors is an integer number (2337327090).

Almost surely, 234116018343 is an apocalyptic number.

34116018343 is a deficient number, since it is larger than the sum of its proper divisors (3281215097).

34116018343 is a wasteful number, since it uses less digits than its factorization.

34116018343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058.

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 34116018343 its reverse (34381061143), we get a palindrome (68497079486).

The spelling of 34116018343 in words is "thirty-four billion, one hundred sixteen million, eighteen thousand, three hundred forty-three".

Divisors: 1 11 269 977 2959 10747 11801 129811 262813 2890943 3174469 11529577 34919159 126825347 3101456213 34116018343