Search a number
-
+
3413035220 = 22573593839
BaseRepresentation
bin1100101101101110…
…1100100011010100
322210212020011010212
43023123230203110
523442214111340
61322401104552
7150402215000
oct31333544324
98725204125
103413035220
1114a1629971
127b3028158
1342513b08a
14245401700
1514e97ea65
hexcb6ec8d4

3413035220 has 96 divisors (see below), whose sum is σ = 8382528000. Its totient is φ = 1166817792.

The previous prime is 3413035207. The next prime is 3413035229. The reversal of 3413035220 is 225303143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413035229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4067561 + ... + 4068399.

It is an arithmetic number, because the mean of its divisors is an integer number (87318000).

Almost surely, 23413035220 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 3413035220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191264000).

3413035220 is an abundant number, since it is smaller than the sum of its proper divisors (4969492780).

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

3413035220 is a wasteful number, since it uses less digits than its factorization.

3413035220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 3413035220 is about 58421.1881084252. The cubic root of 3413035220 is about 1505.6138112792.

Adding to 3413035220 its reverse (225303143), we get a palindrome (3638338363).

The spelling of 3413035220 in words is "three billion, four hundred thirteen million, thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 593 686 839 980 1186 1372 1678 1715 2372 2965 3356 3430 4151 4195 5873 5930 6860 8302 8390 11746 11860 16604 16780 20755 23492 29057 29365 41111 41510 58114 58730 82222 83020 116228 117460 145285 164444 203399 205555 287777 290570 406798 411110 497527 575554 581140 813596 822220 995054 1016995 1151108 1438885 1990108 2033990 2487635 2877770 3482689 4067980 4975270 5755540 6965378 9950540 13930756 17413445 24378823 34826890 48757646 69653780 97515292 121894115 170651761 243788230 341303522 487576460 682607044 853258805 1706517610 3413035220