Search a number
-
+
3611409340 = 2257114315441
BaseRepresentation
bin1101011101000001…
…1011101110111100
3100022200111121021111
43113100123232330
524344010044330
61354205011404
7155331321130
oct32720335674
910280447244
103611409340
111593601320
12849553b64
13457276306
142638bd3c0
151620b732a
hexd741bbbc

3611409340 has 96 divisors (see below), whose sum is σ = 9479006208. Its totient is φ = 1122816000.

The previous prime is 3611409311. The next prime is 3611409343. The reversal of 3611409340 is 439041163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3611409343) 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 31 ways as a sum of consecutive naturals, for example, 661020 + ... + 666460.

It is an arithmetic number, because the mean of its divisors is an integer number (98739648).

Almost surely, 23611409340 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 3611409340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739503104).

3611409340 is an abundant number, since it is smaller than the sum of its proper divisors (5867596868).

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

3611409340 is a wasteful number, since it uses less digits than its factorization.

3611409340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3611409340 is about 60095.0026208503. The cubic root of 3611409340 is about 1534.2362471417.

The spelling of 3611409340 in words is "three billion, six hundred eleven million, four hundred nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 431 770 862 1540 1724 2155 3017 4310 4741 5441 6034 8620 9482 10882 12068 15085 18964 21764 23705 27205 30170 33187 38087 47410 54410 59851 60340 66374 76174 94820 108820 119702 132748 152348 165935 190435 239404 299255 331870 380870 418957 598510 663740 761740 837914 1197020 1675828 2094785 2345071 4189570 4690142 8379140 9380284 11725355 16415497 23450710 25795781 32830994 46901420 51591562 65661988 82077485 103183124 128978905 164154970 180570467 257957810 328309940 361140934 515915620 722281868 902852335 1805704670 3611409340