Not sure what you describe as "Century". The only semi-automatic produced by Browning at the time was the Auto-5. Based on condition of your gun, look it up at the link below.
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It will be marked if it is Belgian made.
12 gauge Belgian Browning shotgun, serial #296305
1972
100-300 USD
1951.
1934
What model?
1967
100-1000 USD or so
Yes
your browning auto-5 shotgun was made in 1947.
Your Browning auto-5 16 gauge shotgun was made in the year 1931.