• 386 can be written using four 4's:

•
Probably 386 is the largest *k* such that the
even and the odd digits of 2^{k} have the
same sum. The other such *k* are 13,
43, 47, 51, 126,
and 194.

386 has 4 divisors (see below), whose sum is σ = 582. Its totient is φ = 192.

The previous prime is 383. The next prime is 389. The reversal of 386 is 683.

It is a happy number.

386 is nontrivially palindromic in base 12.

386 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (383) and next prime (389).

It can be written as a sum of positive squares in only one way, i.e., 361 + 25 = 19^2 + 5^2 .

386 is an undulating number in base 12.

It is a Curzon number.

It is a plaindrome in base 9, base 13 and base 15.

It is a nialpdrome 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 386.

It is not an unprimeable number, because it can be changed into a prime (383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 95 + ... + 98.

386 is the 11-th centered heptagonal number.

386 is a deficient number, since it is larger than the sum of its proper divisors (196).

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

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

The sum of its prime factors is 195.

The product of its digits is 144, while the sum is 17.

The square root of 386 is about 19.6468827044. The cubic root of 386 is about 7.2810794197.

Subtracting from 386 its product of digits (144), we obtain a palindrome (242).

It can be divided in two parts, 38 and 6, that added together give a palindrome (44).

The spelling of 386 in words is "three hundred eighty-six", and thus it is an aban number and an oban number.

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