Vector Calculus

Using Gauss's Divergence Theorem, evaluate $\iint_S \vec{F} \cdot \hat{n} dS$ where $\vec{F} = 2x\hat{i} + 3y\hat{j} + 4z\hat{k}$ and $S$ is the surface of unit sphere $x^2 + y^2 + z^2 = 1$. The value divided by $\pi$ is: