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3441200200 = 2352192339373
BaseRepresentation
bin1100110100011100…
…1000110001001000
322212211020002020021
43031013020301020
524021421401300
61325244510224
7151163501434
oct31507106110
98784202207
103441200200
111506516709
1280054b374
1342ac1ca49
142490539c4
15152194d1a
hexcd1c8c48

3441200200 has 96 divisors (see below), whose sum is σ = 8788276800. Its totient is φ = 1247304960.

The previous prime is 3441200183. The next prime is 3441200221. The reversal of 3441200200 is 20021443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67714 + ... + 107086.

It is an arithmetic number, because the mean of its divisors is an integer number (91544550).

Almost surely, 23441200200 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 3441200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394138400).

3441200200 is an abundant number, since it is smaller than the sum of its proper divisors (5347076600).

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

3441200200 is a wasteful number, since it uses less digits than its factorization.

3441200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39431 (or 39422 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3441200200 is about 58661.7439222531. The cubic root of 3441200200 is about 1509.7440029159.

Adding to 3441200200 its reverse (20021443), we get a palindrome (3461221643).

The spelling of 3441200200 in words is "three billion, four hundred forty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 152 184 190 200 230 380 437 460 475 575 760 874 920 950 1150 1748 1900 2185 2300 3496 3800 4370 4600 8740 10925 17480 21850 39373 43700 78746 87400 157492 196865 314984 393730 748087 787460 905579 984325 1496174 1574920 1811158 1968650 2992348 3622316 3740435 3937300 4527895 5984696 7244632 7480870 7874600 9055790 14961740 17206001 18111580 18702175 22639475 29923480 34412002 36223160 37404350 45278950 68824004 74808700 86030005 90557900 137648008 149617400 172060010 181115800 344120020 430150025 688240040 860300050 1720600100 3441200200