Search a number
-
+
3420320200 = 2352112416451
BaseRepresentation
bin1100101111011101…
…1111000111001000
322211100221021020221
43023313133013020
524001100221300
61323221155424
7150521146003
oct31367370710
98740837227
103420320200
1114a5755210
127b555bb74
134267bbc0b
1424637a53a
1515041d31a
hexcbddf1c8

3420320200 has 96 divisors (see below), whose sum is σ = 8712522720. Its totient is φ = 1238400000.

The previous prime is 3420320161. The next prime is 3420320209. The reversal of 3420320200 is 20230243.

It is not an unprimeable number, because it can be changed into a prime (3420320209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526975 + ... + 533425.

It is an arithmetic number, because the mean of its divisors is an integer number (90755445).

Almost surely, 23420320200 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 3420320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356261360).

3420320200 is an abundant number, since it is smaller than the sum of its proper divisors (5292202520).

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

3420320200 is a wasteful number, since it uses less digits than its factorization.

3420320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3420320200 is about 58483.5036570143. The cubic root of 3420320200 is about 1506.6842731211.

Adding to 3420320200 its reverse (20230243), we get a palindrome (3440550443).

The spelling of 3420320200 in words is "three billion, four hundred twenty million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 241 275 440 482 550 964 1100 1205 1928 2200 2410 2651 4820 5302 6025 6451 9640 10604 12050 12902 13255 21208 24100 25804 26510 32255 48200 51608 53020 64510 66275 70961 106040 129020 132550 141922 161275 258040 265100 283844 322550 354805 530200 567688 645100 709610 1290200 1419220 1554691 1774025 2838440 3109382 3548050 6218764 7096100 7773455 12437528 14192200 15546910 17101601 31093820 34203202 38867275 62187640 68406404 77734550 85508005 136812808 155469100 171016010 310938200 342032020 427540025 684064040 855080050 1710160100 3420320200