Search a number
-
+
386231040 = 28325132579
BaseRepresentation
bin10111000001010…
…110101100000000
3222220202120101100
4113001112230000
51242333343130
6102154134400
712366624006
oct2701265400
9886676340
10386231040
11189021108
12a9421400
13620303a0
143941ca76
1523d93c60
hex17056b00

386231040 has 216 divisors, whose sum is σ = 1439670960. Its totient is φ = 95035392.

The previous prime is 386231033. The next prime is 386231059. The reversal of 386231040 is 40132683.

It is a happy number.

386231040 is a `hidden beast` number, since 38 + 623 + 1 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 386230995 and 386231013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148471 + ... + 151049.

Almost surely, 2386231040 is an apocalyptic number.

386231040 is a gapful number since it is divisible by the number (30) 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 386231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719835480).

386231040 is an abundant number, since it is smaller than the sum of its proper divisors (1053439920).

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

386231040 is a wasteful number, since it uses less digits than its factorization.

386231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 386231040 is about 19652.7616379989. The cubic root of 386231040 is about 728.2531824774.

The spelling of 386231040 in words is "three hundred eighty-six million, two hundred thirty-one thousand, forty".