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34675314756 = 22330717595351
BaseRepresentation
bin100000010010110011…
…110101000001000100
310022111120201111111220
4200102303311001010
51032003340033011
623532444200340
72335200212055
oct402263650104
9108446644456
1034675314756
1113784347225
1268788390b0
133367b92034
14196d34c72c
15d7e2e7506
hex812cf5044

34675314756 has 48 divisors (see below), whose sum is σ = 81233940480. Its totient is φ = 11512087200.

The previous prime is 34675314743. The next prime is 34675314757. The reversal of 34675314756 is 65741357643.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34675314699 and 34675314708.

It is not an unprimeable number, because it can be changed into a prime (34675314757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6477481 + ... + 6482831.

It is an arithmetic number, because the mean of its divisors is an integer number (1692373760).

Almost surely, 234675314756 is an apocalyptic number.

It is an amenable number.

34675314756 is an abundant number, since it is smaller than the sum of its proper divisors (46558625724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34675314756 is a wasteful number, since it uses less digits than its factorization.

34675314756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7422 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 51.

The spelling of 34675314756 in words is "thirty-four billion, six hundred seventy-five million, three hundred fourteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 307 614 921 1228 1759 1842 3518 3684 5277 5351 7036 10554 10702 16053 21108 21404 32106 64212 540013 1080026 1620039 1642757 2160052 3240078 3285514 4928271 6480156 6571028 9412409 9856542 18824818 19713084 28237227 37649636 56474454 112948908 2889609563 5779219126 8668828689 11558438252 17337657378 34675314756