Rachna is considering a life insurance plan that will require her to pay a premium of $$200$ every year for the next $30$ years. She wants to make sure that she is able to make this payment and wants to put away a lump sum today in her bank to cover all future payments. How much would she need to deposit in her bank if the annual interest rate on her deposit account is $3\%?($Enter just the number in dollars without the $ sign or a comma and round off decimals to the closest integer, i$.$e$.,$ rounding $$30\mathrm{.}49$ down to $$30$ and rounding $$30\mathrm{.}50$ up to $$31.)$