# Crunchy Coconuts

A positive number $$n$$ is called a coconut if the logarithm of $$n$$ to the base 10 is in the interval $$[2,3)$$.

Moreover, a natural number $$n$$ is called crunchy if it suffices the following condition $\displaystyle \text{SOD}(3+n)=\dfrac{\text{SOD}(n)}{3}$
,where $$\displaystyle \text{SOD}(n)$$ is an operator which tells the sum of digits of the number $$\displaystyle n$$.

What is the sum of all numbers that are both crunchy and coconuts'?

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