Number of the day: 380653

George Pólya was born on this day 130 years ago.

Properties of the number 380653:

380653 is a cyclic number.
380653 = 7 × 13 × 47 × 89 is the 348304^th composite number and is squarefree.
380653 has 4 distinct prime factors, 16 divisors, 23 antidivisors and 291456 totatives.
380653 has a semiprime digit sum 25 in base 10.
380653 = 190327² - 190326² = 27193² - 27186² = 14647² - 14634² = 4073² - 4026² = 2183² - 2094² = 2137² - 2046² = 743² - 414² = 617² - 6² is the difference of 2 nonnegative squares in 8 ways.
380653 is the difference of 2 positive pentagonal numbers in 6 ways.
380653 = 51² + 104² + 606² is the sum of 3 positive squares.
380653² = 166803² + 342160² = 22372² + 379995² = 251685² + 285572² = 146405² + 351372² is the sum of 2 positive squares in 4 ways.
380653² is the sum of 3 positive squares.
380653 is a proper divisor of 283⁶⁶ - 1.
380653 is palindromic in (at least) base 46.
380653 in base 34 = 9n9n and consists of only the digits '9' and 'n'.
380653 in base 46 = 3ff3 and consists of only the digits '3' and 'f'.

The number 380653 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A287583: Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks are not larger than four.