## Vladimir Igorevich Arnold was born on this day 80 years ago.

### Properties of the number 73084:

73084 = 2^{2}× 11

^{2}× 151 is the 65856

^{th}composite number and is not squarefree.

73084 has 3 distinct prime factors, 18 divisors, 25 antidivisors and 33000 totatives.

73084 has a semiprime digit sum 22 in base 10.

73084 = 18272

^{2}- 18270

^{2}= 1672

^{2}- 1650

^{2}= 272

^{2}- 30

^{2}is the difference of 2 nonnegative squares in 3 ways.

73084 is the sum of 2 positive triangular numbers.

73084 is the difference of 2 positive pentagonal numbers in 4 ways.

73084 is not the sum of 3 positive squares.

73084

^{2}is the sum of 3 positive squares.

73084 is a proper divisor of 1693

^{6}- 1.

73084 is palindromic in (at least) base -12.

73084 in base 45 = a44 and consists of only the digits '4' and 'a'.

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