Let $$\text{rad}(n)$$ be the product of distinct prime factors of $$n$$. (For example, $$\text{rad}(20)=2\cdot 5=10$$ since $$20=2^2\cdot 5$$). Consider the set \begin{aligned} S=\{n\in\mathbb{N}\mid \text{rad}(n)=30\} \end{aligned} and let $$T=\displaystyle\sum_{n\in S}\dfrac{1}{n^2}$$. Find the value of $$\dfrac{1}{T}$$.