Search a number
-
+
3811243060 = 2251922359389
BaseRepresentation
bin1110001100101010…
…1111010000110100
3100211121112012121101
43203022233100310
530301134234220
61430104055444
7163306013542
oct34312572064
910747465541
103811243060
111686390359
128a4464584
134897a2a11
1428225ad92
151748dc30a
hexe32af434

3811243060 has 144 divisors (see below), whose sum is σ = 8986723200. Its totient is φ = 1354560768.

The previous prime is 3811242997. The next prime is 3811243067. The reversal of 3811243060 is 603421183.

3811243060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3811243067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9797346 + ... + 9797734.

It is an arithmetic number, because the mean of its divisors is an integer number (62407800).

Almost surely, 23811243060 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 3811243060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493361600).

3811243060 is an abundant number, since it is smaller than the sum of its proper divisors (5175480140).

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

3811243060 is a wasteful number, since it uses less digits than its factorization.

3811243060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3811243060 is about 61735.2659344722. The cubic root of 3811243060 is about 1562.0282433716.

The spelling of 3811243060 in words is "three billion, eight hundred eleven million, two hundred forty-three thousand, sixty".

Divisors: 1 2 4 5 10 19 20 23 38 46 59 76 92 95 115 118 190 230 236 295 361 380 389 437 460 590 722 778 874 1121 1180 1357 1444 1556 1748 1805 1945 2185 2242 2714 3610 3890 4370 4484 5428 5605 6785 7220 7391 7780 8303 8740 8947 11210 13570 14782 16606 17894 21299 22420 22951 25783 27140 29564 33212 35788 36955 41515 42598 44735 45902 51566 73910 83030 85196 89470 91804 103132 106495 114755 128915 140429 147820 166060 169993 178940 212990 229510 257830 280858 339986 425980 436069 459020 489877 515660 527873 561716 679972 702145 849965 872138 979754 1055746 1404290 1699930 1744276 1959508 2111492 2180345 2449385 2639365 2808580 3229867 3399860 4360690 4898770 5278730 6459734 8285311 8721380 9797540 10029587 10557460 12919468 16149335 16570622 20059174 32298670 33141244 40118348 41426555 50147935 64597340 82853110 100295870 165706220 190562153 200591740 381124306 762248612 952810765 1905621530 3811243060