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3145 = 51737
BaseRepresentation
bin110001001001
311022111
4301021
5100040
622321
712112
oct6111
94274
103145
1123aa
1219a1
13157c
141209
15dea
hexc49

3145 has 8 divisors (see below), whose sum is σ = 4104. Its totient is φ = 2304.

The previous prime is 3137. The next prime is 3163. The reversal of 3145 is 5413.

Adding to 3145 its reverse (5413), we get a palindrome (8558).

It can be divided in two parts, 3 and 145, that multiplied together give a triangular number (435 = T29).

3145 = 132 + 142 + ... + 222.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 1849 = 36^2 + 43^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(3145) divides (3145-1)3.

It is a cyclic number.

It is not a de Polignac number, because 3145 - 23 = 3137 is a prime.

It is a d-powerful number, because it can be written as 3 + 42 + 1 + 55 .

It is a Duffinian number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 8.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 67 + ... + 103.

It is an arithmetic number, because the mean of its divisors is an integer number (513).

It is an amenable number.

3145 is a deficient number, since it is larger than the sum of its proper divisors (959).

3145 is a wasteful number, since it uses less digits than its factorization.

3145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59.

The product of its digits is 60, while the sum is 13.

The square root of 3145 is about 56.0802995712. The cubic root of 3145 is about 14.6512119115.

The spelling of 3145 in words is "three thousand, one hundred forty-five".

Divisors: 1 5 17 37 85 185 629 3145