Henry Ernest Dudeney/Puzzles and Curious Problems/108 - The Nine Digits

Puzzles and Curious Problems by Henry Ernest Dudeney: $108$

The Nine Digits

It will be found that $32 \, 547 \, 891$ multiplied by $6$ (thus using all the $9$ digits once, and once only)

gives the product $195 \, 287 \, 346$ (also containing all the $9$ digits once, and once only).

Can you find another number to be multiplied by $6$ under the same conditions?

Remember that the $9$ digits must appear once, and once only, in the sums multiplied and in the product.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $108$. -- The Nine Digits
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $136$. The Nine Digits