You need to borrow $ $360,000$ to purchase a new house. CPC bank will loan you the money at an APR of $6\mathrm{.}4\%($monthly $$compounding$)$ and a $30$ year term$($i$.$e$.360$ monthly payments in $$total$).$ After making exactly $31$payments$,$ what is the total amount of interest you will have paid$($rounded to the nearest$$ dollar$)?$

The total amount of interest is closest$$ to: