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3146 = 211213
BaseRepresentation
bin110001001010
311022112
4301022
5100041
622322
712113
oct6112
94275
103146
112400
1219a2
131580
14120a
15deb
hexc4a

3146 has 12 divisors (see below), whose sum is σ = 5586. Its totient is φ = 1320.

The previous prime is 3137. The next prime is 3163. The reversal of 3146 is 6413.

Adding to 3146 its sum of digits (14), we get a triangular number (3160 = T79).

Multipling 3146 by its sum of digits (14), we get a palindrome (44044).

Adding to 3146 its reverse (6413), we get a palindrome (9559).

It can be divided in two parts, 31 and 46, that added together give a palindrome (77).

3146 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 3025 + 121 = 55^2 + 11^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236 + ... + 248.

23146 is an apocalyptic number.

3146 is a deficient number, since it is larger than the sum of its proper divisors (2440).

3146 is a wasteful number, since it uses less digits than its factorization.

3146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 26 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 3146 is about 56.0892146495. The cubic root of 3146 is about 14.6527646046.

The spelling of 3146 in words is "three thousand, one hundred forty-six".

Divisors: 1 2 11 13 22 26 121 143 242 286 1573 3146