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3149200 = 24527873
BaseRepresentation
bin1100000000110110010000
312220222220001
430000312100
51301233300
6151255344
735524225
oct14006620
95828801
103149200
11186104a
12107a554
13863542
145bd94c
1542316a
hex300d90

3149200 has 30 divisors (see below), whose sum is σ = 7566914. Its totient is φ = 1259520.

The previous prime is 3149173. The next prime is 3149203. The reversal of 3149200 is 29413.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 3139984 = 96^2 + 1772^2 .

It is not an unprimeable number, because it can be changed into a prime (3149203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3537 + ... + 4336.

Almost surely, 23149200 is an apocalyptic number.

It is an amenable number.

3149200 is an abundant number, since it is smaller than the sum of its proper divisors (4417714).

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

3149200 is a wasteful number, since it uses less digits than its factorization.

3149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3149200 is about 1774.5985461506. The cubic root of 3149200 is about 146.5773101253.

The spelling of 3149200 in words is "three million, one hundred forty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 7873 15746 31492 39365 62984 78730 125968 157460 196825 314920 393650 629840 787300 1574600 3149200