Wednesday, May 9, 2012

390

390 = 2 x 3 x 5 x 13. The prime factorization of 390 exhibits the smallest digital sum, [(2 + 3 + 5 + (1 + 3)] = 14, of any factorization with four primes with distinct digital sums (2, 3, 5, and 4).

390 is the number of integer partitions of 32 into distinct parts.

390 is the sum of two consecutive primes: 390 = 193 + 197. It is also the sum of four consecutive primes: 390 = 89 + 97 + 101 + 103.

390 is the 12th term in the sequence involving rooted polygonal cacti (Husimi graphs) with n nodes.

390 is 12012 in base 4 and 3030 in base 5. It is 606 in base 8.

Source: Prime Curios!

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