A ballasting weight (20) having a length, width, thickness, first side, second side, top, and bottom, and a cross-sectional profile comprising a notch forming a groove (28) extending longitudinally along the length of the first side of the ballasting weight (20), wherein the groove (28) is operatively adapted so as to facilitate the automatic dispensing and/or applying of the ballasting weight (20), e.g., on the rim flange of a wheel rim adjacent to its flange lip, and a device for so dispensing and/or applying the ballasting weight.