Number of the day: 3488

Leonhard Euler was born on this day 312 years ago.

Properties of the number 3488:

3488 = 2⁵ × 109 is the 3000^th composite number and is not squarefree.
3488 has 2 distinct prime factors, 12 divisors, 17 antidivisors and 1728 totatives.
3488 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 3488 results in a semiprime.
3488 = 873² - 871² = 438² - 434² = 222² - 214² = 117² - 101² is the difference of 2 nonnegative squares in 4 ways.
3488 = 28² + 52² is the sum of 2 positive squares in 1 way.
3488 = 16² + 36² + 44² is the sum of 3 positive squares.
3488² = 1920² + 2912² is the sum of 2 positive squares in 1 way.
3488² is the sum of 3 positive squares.
3488 is a proper divisor of 1153³ - 1.
3488 is palindromic in (at least) the following bases: 20, -27, -41, and -42.
3488 in base 20 = 8e8 and consists of only the digits '8' and 'e'.
3488 in base 26 = 544 and consists of only the digits '4' and '5'.
3488 in base 29 = 448 and consists of only the digits '4' and '8'.
3488 in base 41 = 233 and consists of only the digits '2' and '3'.

The number 3488 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A033816: a(n) = 2*n^2 + 3*n + 3.
A068817: Numbers n such that n concatenated with n 1's is a prime.
A121207: Triangle read by rows. The definition is by diagonals. The r-th diagonal from the right, for r >= 0, is given by b(0) = b(1) = 1; b(n+1) = Sum_{k=0..n} binomial(n+2,k+r)*a(k).
A124496: Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} in which the size of the last block is k, 1<=k<=n; the blocks are ordered with increasing least elements.
A154493: a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(0)=1,a(1)=4.
A178740: Product of the 5th power of a prime (A050997) and a different prime (p^5*q).
A260047: Composites whose prime factorization in base 3 is an anagram of the number in base 3.
A271634: Numbers n such that Bernoulli number B_{n} has denominator 510.
A299380: Numbers n such that n * 17^n - 1 is prime.
A316466: a(n) = 2*n*(7*n - 3).