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34271617243 = 10128310931097
BaseRepresentation
bin11111111010101111…
…110110000011011011
310021110110002112122011
4133322233312003123
51030142013222433
623424423410351
72322165640303
oct377257660333
9107413075564
1034271617243
1113597486316
1267855b39b7
133302357776
1419318a4603
15d58b533cd
hex7fabf60db

34271617243 has 16 divisors (see below), whose sum is σ = 34796709216. Its totient is φ = 33750662400.

The previous prime is 34271617217. The next prime is 34271617297.

34271617243 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34271617243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34271617196 and 34271617205.

It is not an unprimeable number, because it can be changed into a prime (34271617343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31240671 + ... + 31241767.

It is an arithmetic number, because the mean of its divisors is an integer number (2174794326).

Almost surely, 234271617243 is an apocalyptic number.

34271617243 is a deficient number, since it is larger than the sum of its proper divisors (525091973).

34271617243 is a wasteful number, since it uses less digits than its factorization.

34271617243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574.

The product of its digits is 169344, while the sum is 40.

The spelling of 34271617243 in words is "thirty-four billion, two hundred seventy-one million, six hundred seventeen thousand, two hundred forty-three".

Divisors: 1 101 283 1093 1097 28583 110393 110797 309319 310451 1199021 31241219 31355551 121101121 339322943 34271617243