Martha starts saving for her retirement by making monthly deposits into a retirement account whose annual rate is $3\mathrm{.}1\%.$ She plans to retire in $24$ years with an amount of money that has the same buying power as $$277,149$ has today. If the anticipated rate of inflation if $2\mathrm{.}7\%,$ how much should each of her deposits be$?$

Round your answer to the nearest dollar.