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3486 = 23783
BaseRepresentation
bin110110011110
311210010
4312132
5102421
624050
713110
oct6636
94703
103486
11268a
122026
131782
1413b0
151076
hexd9e

3486 has 16 divisors (see below), whose sum is σ = 8064. Its totient is φ = 984.

The previous prime is 3469. The next prime is 3491. The reversal of 3486 is 6843.

It can be divided in two parts, 34 and 86, that added together give a triangular number (120 = T15).

3486 = T28 + T29 + ... + T34.

3486 = 282 + 292 + ... + 312.

3486 is a nontrivial binomial coefficient, being equal to C(84, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3486.

It is an unprimeable number.

3486 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 83.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

23486 is an apocalyptic number.

3486 is the 83-rd triangular number and also the 42-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032).

3486 is an abundant number, since it is smaller than the sum of its proper divisors (4578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3486 is a wasteful number, since it uses less digits than its factorization.

3486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95.

The product of its digits is 576, while the sum is 21.

The square root of 3486 is about 59.0423576765. The cubic root of 3486 is about 15.1626738809.

The spelling of 3486 in words is "three thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1162 1743 3486