Given Mass of Rifle = 4.5Kg ( not needed to solve this problem)
Mass of bullet = 34.3 /1000 Kg
speed of bullet = 397.2 m/s
Using law of conservation of momentum.
As system is at rest before bullet is fired ( total momentum is zero)
Momentum of rifle + Momentum of bullet = 0
Momentum of rifle = - Momentum of bullet = - mv ( where m = mass of bullet and v= speed of bullet)
= - (34.3/1000) *397.2 Kgm/s= - 13.62 Kgm/s Negative sign means opposite to the direction of bullet