Search a number
-
+
386316 = 22337273
BaseRepresentation
bin1011110010100001100
3201121221000
41132110030
544330231
612140300
73166200
oct1362414
9647830
10386316
11244277
12167690
13106ab8
14a0b00
15796e6
hex5e50c

386316 has 72 divisors (see below), whose sum is σ = 1181040. Its totient is φ = 108864.

The previous prime is 386303. The next prime is 386329. The reversal of 386316 is 613683.

386316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (386303) and next prime (386329).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 386316.

It is a congruent number.

It is an unprimeable number.

386316 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 23 ways as a sum of consecutive naturals, for example, 5256 + ... + 5328.

2386316 is an apocalyptic number.

386316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590520).

386316 is an abundant number, since it is smaller than the sum of its proper divisors (794724).

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

386316 is a wasteful number, since it uses less digits than its factorization.

386316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 386316 is about 621.5432406518. The cubic root of 386316 is about 72.8306576990.

Adding to 386316 its reverse (613683), we get a palindrome (999999).

The spelling of 386316 in words is "three hundred eighty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 73 84 98 108 126 146 147 189 196 219 252 292 294 378 438 441 511 588 657 756 876 882 1022 1314 1323 1533 1764 1971 2044 2628 2646 3066 3577 3942 4599 5292 6132 7154 7884 9198 10731 13797 14308 18396 21462 27594 32193 42924 55188 64386 96579 128772 193158 386316