Friday, October 7, 2016

Number of the day: 394123

Properties of the number 394123:

394123 is the 33408th prime.
394123 has 7 antidivisors and 394122 totatives.
394123 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 394123 results in a semiprime.
394123 = 1970622 - 1970612 is the difference of 2 nonnegative squares in 1 way.
394123 is the sum of 2 positive triangular numbers.
394123 is the difference of 2 positive pentagonal numbers in 1 way.
394123 = 612 + 692 + 6212 is the sum of 3 positive squares.
3941232 is the sum of 3 positive squares.
394123 is a divisor of 3765687 - 1.
394123 = '394' + '123' is the concatenation of 2 emirpimes.
394123 is an emirp in (at least) the following bases: 7, 8, 15, 21, 22, 31, 43, 57, 64, 68, 70, 71, 74, 79, 91, 97, and 100.
394123 is palindromic in (at least) base -96.

The number 394123 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A048361: a(n) is base of smallest triangle containing exactly n 6's.
A119173: Numbers n such that the n-th triangular number contains only digits {2,6,7}.

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