Search a number
-
+
3541066340 = 2257217434943
BaseRepresentation
bin1101001100010000…
…0110001001100100
3100010210010210211012
43103010012021210
524223003110330
61343213201352
7153515365400
oct32304061144
910123123735
103541066340
111557926609
12829a90258
13445817636
1425840c100
1515ad1ec95
hexd3106264

3541066340 has 144 divisors (see below), whose sum is σ = 9374061312. Its totient is φ = 1115864064.

The previous prime is 3541066327. The next prime is 3541066349. The reversal of 3541066340 is 436601453.

It is a junction number, because it is equal to n+sod(n) for n = 3541066297 and 3541066306.

It is not an unprimeable number, because it can be changed into a prime (3541066349) 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, 713909 + ... + 718851.

It is an arithmetic number, because the mean of its divisors is an integer number (65097648).

Almost surely, 23541066340 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 3541066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687030656).

3541066340 is an abundant number, since it is smaller than the sum of its proper divisors (5832994972).

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

3541066340 is a wasteful number, since it uses less digits than its factorization.

3541066340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 3541066340 is about 59506.8596045868. The cubic root of 3541066340 is about 1524.2095826884.

Adding to 3541066340 its reverse (436601453), we get a palindrome (3977667793).

The spelling of 3541066340 in words is "three billion, five hundred forty-one million, sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 43 49 68 70 85 86 98 119 140 170 172 196 215 238 245 301 340 430 476 490 595 602 731 833 860 980 1190 1204 1462 1505 1666 2107 2380 2924 3010 3332 3655 4165 4214 4943 5117 6020 7310 8330 8428 9886 10234 10535 14620 16660 19772 20468 21070 24715 25585 34601 35819 42140 49430 51170 69202 71638 84031 98860 102340 138404 143276 168062 173005 179095 212549 242207 336124 346010 358190 420155 425098 484414 588217 692020 716380 840310 850196 968828 1062745 1176434 1211035 1487843 1680620 2125490 2352868 2422070 2941085 2975686 3613333 4117519 4250980 4844140 5882170 5951372 7226666 7439215 8235038 10414901 11764340 14453332 14878430 16470076 18066665 20587595 20829802 25293331 29756860 36133330 41175190 41659604 50586662 52074505 72266660 82350380 101173324 104149010 126466655 177053317 208298020 252933310 354106634 505866620 708213268 885266585 1770533170 3541066340