Any number whose digits do not add up to 9, 18 or 27. There are 800 of them!
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None. 3 digit numbers are not divisible by 19 digit numbers.
The first 3 digit number divisible by 19 is 114 (= 19 x 6) The last 3 digit number divisible by 19 is 988 (= 19 x 52) That means that there are 52 - 6 + 1 = 47 three digit numbers that are divisible by 19.
All 4 digit numbers that are divisible by 9 are also divisible by 3. The first is 1008 and the last is 9999.
There are 300.
2999 of them.