Search a number
-
+
3305327046 = 23744792
BaseRepresentation
bin1100010100000011…
…0100100111000110
322112100120000022020
43011000310213012
523232130431141
61303552344010
7144623550000
oct30500644706
98470500266
103305327046
11144685314a
12782b45006
13408a28c28
14234da5370
151452a6266
hexc50349c6

3305327046 has 60 divisors (see below), whose sum is σ = 7728104652. Its totient is φ = 942407592.

The previous prime is 3305327041. The next prime is 3305327063. The reversal of 3305327046 is 6407235033.

It is a super-3 number, since 3×33053270463 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3305326998 and 3305327016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305327041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6900235 + ... + 6900713.

Almost surely, 23305327046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305327046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864052326).

3305327046 is an abundant number, since it is smaller than the sum of its proper divisors (4422777606).

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

3305327046 is an frugal number, since it uses more digits than its factorization.

3305327046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 3305327046 is about 57491.9737528640. The cubic root of 3305327046 is about 1489.6062268899.

The spelling of 3305327046 in words is "three billion, three hundred five million, three hundred twenty-seven thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 479 686 958 1029 1437 2058 2401 2874 3353 4802 6706 7203 10059 14406 20118 23471 46942 70413 140826 164297 229441 328594 458882 492891 688323 985782 1150079 1376646 1606087 2300158 3212174 3450237 4818261 6900474 9636522 11242609 22485218 33727827 67455654 78698263 157396526 236094789 472189578 550887841 1101775682 1652663523 3305327046