A culture of bacteria has an initial population of 230 bacteria and doubles every 9 hours. Using the formula


=

0

2


P
t

=P
0

⋅2
d
t


, where


P
t

is the population after t hours,

0
P
0

is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?