Number of the day: 43460

Charles Babbage was born on this day 229 years ago.

John Horton Conway was born on this day 83 years ago.

Properties of the number 43460:

43460 = 2² × 5 × 41 × 53 is the 38928^th composite number and is not squarefree.
43460 has 4 distinct prime factors, 24 divisors, 15 antidivisors and 16640 totatives.
43460 has an emirp digit sum 17 in base 10.
43460 = (24 × 25)/2 + … + (64 × 65)/2 = (11 × 12)/2 + … + (63 × 64)/2 is the sum of at least 2 consecutive triangular numbers in 2 ways.
43460 = 10866² - 10864² = 2178² - 2168² = 306² - 224² = 258² - 152² is the difference of 2 nonnegative squares in 4 ways.
43460 is the difference of 2 positive pentagonal numbers in 4 ways.
43460 = 136² + 158² = 32² + 206² = 98² + 184² = 14² + 208² is the sum of 2 positive squares in 4 ways.
43460 = 20² + 38² + 204² is the sum of 3 positive squares.
43460² = 26076² + 34768² = 15744² + 40508² = 3772² + 43296² = 24252² + 36064² = 17808² + 39644² = 5824² + 43068² = 28196² + 33072² = 13184² + 41412² = 6468² + 42976² = 30500² + 30960² = 9540² + 42400² = 14300² + 41040² = 22960² + 36900² is the sum of 2 positive squares in 13 ways.
43460² is the sum of 3 positive squares.
43460 is a proper divisor of 83⁴ - 1.
43460 is palindromic in (at least) the following bases: 71, and 97.
43460 in base 19 = 6677 and consists of only the digits '6' and '7'.
43460 in base 23 = 3d3d and consists of only the digits '3' and 'd'.

The number 43460 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A015226: Even hexagonal pyramidal numbers.
A063490: a(n) = (2*n - 1)*(7*n^2 - 7*n + 6)/6.
A111302: Define a(1)=1. Thereafter a(n) is the smallest positive integer with the property that a(n)^2 cannot be created by summing the squares of at most n values chosen among the previous terms (with repeats allowed).