* Condition: The coin's condition is a crucial factor in determining its value. A well-preserved coin with minimal wear and tear will be worth significantly more than a heavily worn or damaged one.
* Rarity: If the 1834 half dollar you have is a genuine mint error, where "w" is engraved on the front and back words "Fifty Cents To A Dollar" edge, this could potentially make it more valuable than a regular 1834 half dollar. Genuine mint errors can attract the interest of collectors and numismatists.
* Grading: Numismatic experts grade coins based on various factors, including condition, strike quality, and overall appearance. A higher grade usually corresponds to a higher value.
Considering these factors, the value of an 1834 half dollar with the mentioned characteristics can range from a few hundred dollars up to several thousand dollars, depending on its exact condition and rarity. To obtain a precise valuation, it is best to consult a certified coin dealer or appraiser who can examine the coin in person.