The next number in the series can be determined by observing the pattern of multiplication. Starting with 1, each subsequent number is multiplied by the next increasing integer. Therefore, 1 x 2 = 2, 2 x 4 = 8, 8 x 6 = 48, 48 x 8 = 384. Following this pattern, the next number would be 384 x 10 = 3840.
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