Search a number
-
+
3306323340 = 2233529320897
BaseRepresentation
bin1100010100010010…
…0111110110001100
322112102102121222000
43011010213312030
523232404321330
61304025552300
7144635166435
oct30504476614
98472377860
103306323340
111447373731
12783345690
13408cb7558
1423518448c
15145401560
hexc5127d8c

3306323340 has 96 divisors (see below), whose sum is σ = 10321940160. Its totient is φ = 878635008.

The previous prime is 3306323333. The next prime is 3306323407. The reversal of 3306323340 is 433236033.

3306323340 is a `hidden beast` number, since 3 + 306 + 323 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147772 + ... + 168668.

It is an arithmetic number, because the mean of its divisors is an integer number (107520210).

Almost surely, 23306323340 is an apocalyptic number.

3306323340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160970080).

3306323340 is an abundant number, since it is smaller than the sum of its proper divisors (7015616820).

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

3306323340 is a wasteful number, since it uses less digits than its factorization.

3306323340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21208 (or 21200 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

The square root of 3306323340 is about 57500.6377355939. The cubic root of 3306323340 is about 1489.7558779067.

Adding to 3306323340 its reverse (433236033), we get a palindrome (3739559373).

The spelling of 3306323340 in words is "three billion, three hundred six million, three hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 293 540 586 879 1172 1465 1758 2637 2930 3516 4395 5274 5860 7911 8790 10548 13185 15822 17580 20897 26370 31644 39555 41794 52740 62691 79110 83588 104485 125382 158220 188073 208970 250764 313455 376146 417940 564219 626910 752292 940365 1128438 1253820 1880730 2256876 2821095 3761460 5642190 6122821 11284380 12245642 18368463 24491284 30614105 36736926 55105389 61228210 73473852 91842315 110210778 122456420 165316167 183684630 220421556 275526945 330632334 367369260 551053890 661264668 826580835 1102107780 1653161670 3306323340