I can help a bit here with battery nomenclature. The numbers for these lithium cells give the diameter in the first two digits, and the length in the next three (all in mm).

So a "16340" is a cell that is 16mm in diameter, and 34.0 mm in length.

An "18350" is 18mm in diameter, and 35.0mm in length.

The 18350 will not fit into an H32 or any other lamp designed for CR123 cells. It is 2mm too fat in diameter. Length may also be a problem, but not as big of a problem.

Of course, the advantage of the 18350 (and 18650) is that their extra diameter gives them more capacity. The volume goes up as the square of the radius (for a given length), so an 18xxx will have an 81/64 advantage over a 16xxx.

But if it won't fit into the light, then that won't help much.

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