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388000 = 255397
BaseRepresentation
bin1011110101110100000
3201201020101
41132232200
544404000
612152144
73204124
oct1365640
9651211
10388000
11245568
12168654
131077b2
14a1584
1579e6a
hex5eba0

388000 has 48 divisors (see below), whose sum is σ = 963144. Its totient is φ = 153600.

The previous prime is 387977. The next prime is 388009. The reversal of 388000 is 883.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 283024 = 324^2 + 532^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (388009) by changing a digit.

388000 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, 3952 + ... + 4048.

2388000 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 388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572).

388000 is an abundant number, since it is smaller than the sum of its proper divisors (575144).

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

388000 is an equidigital number, since it uses as much as digits as its factorization.

388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 388000 is about 622.8964600959. The cubic root of 388000 is about 72.9363302977.

Adding to 388000 its reverse (883), we get a palindrome (388883).

The spelling of 388000 in words is "three hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 776 800 970 1000 1552 1940 2000 2425 3104 3880 4000 4850 7760 9700 12125 15520 19400 24250 38800 48500 77600 97000 194000 388000