Monday, April 11, 2016

Number of the day: 34951

Properties of the number 34951:

34951 = 7 × 4993 is semiprime and squarefree.
34951 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 29952 totatives.
34951 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 34951 results in an emirpimes.
34951 = 174762 - 174752 = 25002 - 24932 is the difference of 2 nonnegative squares in 2 ways.
34951 is the sum of 2 positive triangular numbers.
34951 is the difference of 2 positive pentagonal numbers in 2 ways.
34951 is not the sum of 3 positive squares.
349512 is the sum of 2 positive squares in 1 way.
34951 is a divisor of 26948 - 1.
34951 = '3' + '4951' is the concatenation of 2 prime numbers.
34951 = '34' + '951' is the concatenation of 2 semiprime numbers.
34951 is an emirpimes in (at least) the following bases: 2, 5, 7, 9, 10, 11, 17, 18, 19, 25, 29, 31, 32, 33, 35, 39, 45, 50, 53, 54, 56, 58, 65, 73, 74, 80, 82, 85, 87, and 95.
34951 is palindromic in (at least) the following bases: 49, and 57.
34951 in base 16 = 8887 and consists of only the digits '7' and '8'.
34951 in base 49 = ERE and consists of only the digits 'E' and 'R'.
34951 in base 57 = AhA and consists of only the digits 'A' and 'h'.

The number 34951 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A115918: Numbers n such that sigma(n)-phi(n) is a 4th power.
A131211: a(n)=(n^5-n-30)/30.
A168476: Numbers that are the product of two distinct primes and they are partial sum of products of two distinct primes.
A239007: Difference between the smallest 10^n-digit member of a sexy prime pair and 10^(10^n - 1).

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