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385800 = 23352643
BaseRepresentation
bin1011110001100001000
3201121012220
41132030020
544321200
612134040
73164532
oct1361410
9647186
10385800
11243948
12167320
131067ac
14a0852
15794a0
hex5e308

385800 has 48 divisors (see below), whose sum is σ = 1197840. Its totient is φ = 102720.

The previous prime is 385793. The next prime is 385811. The reversal of 385800 is 8583.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

385800 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 11 ways as a sum of consecutive naturals, for example, 279 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (24955).

2385800 is an apocalyptic number.

385800 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 385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598920).

385800 is an abundant number, since it is smaller than the sum of its proper divisors (812040).

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

385800 is a wasteful number, since it uses less digits than its factorization.

385800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 385800 is about 621.1280061308. The cubic root of 385800 is about 72.7982167578.

Adding to 385800 its product of nonzero digits (960), we get a triangular number (386760 = T879).

The spelling of 385800 in words is "three hundred eighty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 643 1286 1929 2572 3215 3858 5144 6430 7716 9645 12860 15432 16075 19290 25720 32150 38580 48225 64300 77160 96450 128600 192900 385800