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There are four three-digit n...

There are four three-digit numbers that share this property: the number itself, its double and its triple contain each digit from 1 to 9 exactly once. For example, 192 is one of them because 192, 384, 576 contain 1 to 9 each once. 273 is another one of them because 273, 546, 819 contain 1 to 9 each once. Can you find the other two numbers and calculate the product of these two numbers?

Correct answers: 23

The first user who solved this task is Djordje Timotijevic.

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Maria Goeppert-Mayer

Born 28 Jun 1906; died 20 Feb 1972 at age 65. German physicist who shared one-half of the 1963 Nobel Prize for Physics with J. Hans D. Jensen of West Germany for their proposal of the shell nuclear model. (The other half of the prize was awarded to Eugene P. Wigner of the United States for unrelated work.) In 1939 she worked at Columbia University on the separation of uranium isotopes for the atomic bomb project. In 1949, she devised the shell nuclear model, which explained the detailed properties of atomic nuclei in terms of a structure of shells occupied by the protons and neutrons. This explained the great stability and abundance of nuclei that have a particular number of neutrons (such as 50, 82, or 126) and the same special number of protons.

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