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34973935347 = 31335306317
BaseRepresentation
bin100000100100100110…
…111110011011110011
310100021101121222221210
4200210212332123303
51033111311412342
624022232451203
72345454355041
oct404446763363
9110241558853
1034973935347
11139179692aa
126940849b03
1333b49c9000
14199ac83391
15d9a63279c
hex8249be6f3

34973935347 has 16 divisors (see below), whose sum is σ = 50516147360. Its totient is φ = 21522417696.

The previous prime is 34973935313. The next prime is 34973935349. The reversal of 34973935347 is 74353937943.

It is not a de Polignac number, because 34973935347 - 28 = 34973935091 is a prime.

It is a super-2 number, since 2×349739353472 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34973935349) 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, 2646568 + ... + 2659749.

It is an arithmetic number, because the mean of its divisors is an integer number (3157259210).

Almost surely, 234973935347 is an apocalyptic number.

34973935347 is a deficient number, since it is larger than the sum of its proper divisors (15542212013).

34973935347 is an equidigital number, since it uses as much as digits as its factorization.

34973935347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306359 (or 5306333 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 57.

The spelling of 34973935347 in words is "thirty-four billion, nine hundred seventy-three million, nine hundred thirty-five thousand, three hundred forty-seven".

Divisors: 1 3 13 39 169 507 2197 6591 5306317 15918951 68982121 206946363 896767573 2690302719 11657978449 34973935347