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386000 = 2453193
BaseRepresentation
bin1011110001111010000
3201121111022
41132033100
544323000
612135012
73165236
oct1361720
9647438
10386000
1124400a
12167468
13106904
14a0956
1579585
hex5e3d0

386000 has 40 divisors (see below), whose sum is σ = 938184. Its totient is φ = 153600.

The previous prime is 385997. The next prime is 386017. The reversal of 386000 is 683.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44944 + 341056 = 212^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 386000.

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 386000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1904 + ... + 2096.

2386000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469092).

386000 is an abundant number, since it is smaller than the sum of its proper divisors (552184).

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

386000 is a wasteful number, since it uses less digits than its factorization.

386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

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

The square root of 386000 is about 621.2889826804. The cubic root of 386000 is about 72.8107941971.

Adding to 386000 its reverse (683), we get a palindrome (386683).

The spelling of 386000 in words is "three hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 772 965 1000 1544 1930 2000 3088 3860 4825 7720 9650 15440 19300 24125 38600 48250 77200 96500 193000 386000