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3000200 = 235272143
BaseRepresentation
bin1011011100011110001000
312122102111112
423130132020
51232001300
6144145452
734333640
oct13343610
95572445
103000200
11176a105
121008288
13810788
14581520
153e3e35
hex2dc788

3000200 has 48 divisors (see below), whose sum is σ = 7975680. Its totient is φ = 1028160.

The previous prime is 3000199. The next prime is 3000223. The reversal of 3000200 is 20003.

It is a happy number.

3000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

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 11 ways as a sum of consecutive naturals, for example, 329 + ... + 2471.

It is an arithmetic number, because the mean of its divisors is an integer number (166160).

Almost surely, 23000200 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 3000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987840).

3000200 is an abundant number, since it is smaller than the sum of its proper divisors (4975480).

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

3000200 is a wasteful number, since it uses less digits than its factorization.

3000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 3000200 is about 1732.1085416336. The cubic root of 3000200 is about 144.2281619586.

Adding to 3000200 its reverse (20003), we get a palindrome (3020203).

The spelling of 3000200 in words is "three million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2143 4286 8572 10715 15001 17144 21430 30002 42860 53575 60004 75005 85720 107150 120008 150010 214300 300020 375025 428600 600040 750050 1500100 3000200