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34688306873 = 114328919163
BaseRepresentation
bin100000010011100101…
…011000111010111001
310022112111011120100102
4200103211120322321
51032020201304443
623534030445145
72335415513003
oct402345307271
9108474146312
1034688306873
1113790710410
1268810637b5
13336a79078c
141970d71373
15d80511cb8
hex813958eb9

34688306873 has 24 divisors (see below), whose sum is σ = 39179648160. Its totient is φ = 30453783360.

The previous prime is 34688306869. The next prime is 34688306893. The reversal of 34688306873 is 37860388643.

It is a happy number.

It is not a de Polignac number, because 34688306873 - 22 = 34688306869 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34688306893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1800590 + ... + 1819752.

It is an arithmetic number, because the mean of its divisors is an integer number (1632485340).

Almost surely, 234688306873 is an apocalyptic number.

It is an amenable number.

34688306873 is a deficient number, since it is larger than the sum of its proper divisors (4491341287).

34688306873 is a wasteful number, since it uses less digits than its factorization.

34688306873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19349 (or 19306 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 56.

The spelling of 34688306873 in words is "thirty-four billion, six hundred eighty-eight million, three hundred six thousand, eight hundred seventy-three".

Divisors: 1 11 43 89 473 979 1849 3827 19163 20339 42097 164561 210793 824009 1705507 1810171 9064099 18760577 35432387 73336801 389756257 806704811 3153482443 34688306873