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3306528820 = 2257231127857
BaseRepresentation
bin1100010100010101…
…1010000000110100
322112102211001211101
43011011122000310
523232432410240
61304034215444
7144640013500
oct30505320064
98472731741
103306528820
1114474a4051
12783424584
13409059c3a
142351d9300
1514544239a
hexc515a034

3306528820 has 144 divisors (see below), whose sum is σ = 8413396992. Its totient is φ = 1087188480.

The previous prime is 3306528811. The next prime is 3306528833. The reversal of 3306528820 is 288256033.

It is a self number, because there is not a number n which added to its sum of digits gives 3306528820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3857832 + ... + 3858688.

It is an arithmetic number, because the mean of its divisors is an integer number (58426368).

Almost surely, 23306528820 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 3306528820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206698496).

3306528820 is an abundant number, since it is smaller than the sum of its proper divisors (5106868172).

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

3306528820 is a wasteful number, since it uses less digits than its factorization.

3306528820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 3306528820 is about 57502.4244706256. The cubic root of 3306528820 is about 1489.7867388425.

The spelling of 3306528820 in words is "three billion, three hundred six million, five hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 127 140 155 196 217 245 254 310 434 490 508 620 635 857 868 889 980 1085 1270 1519 1714 1778 2170 2540 3038 3428 3556 3937 4285 4340 4445 5999 6076 6223 7595 7874 8570 8890 11998 12446 15190 15748 17140 17780 19685 23996 24892 26567 27559 29995 30380 31115 39370 41993 53134 55118 59990 62230 78740 83986 106268 108839 110236 119980 124460 132835 137795 167972 185969 192913 209965 217678 265670 275590 371938 385826 419930 435356 531340 544195 551180 743876 761873 771652 839860 929845 964565 1088390 1301783 1523746 1859690 1929130 2176780 2603566 3047492 3374009 3719380 3809365 3858260 5207132 5333111 6508915 6748018 7618730 10666222 13017830 13496036 15237460 16870045 21332444 23618063 26035660 26665555 33740090 47236126 53331110 67480180 94472252 106662220 118090315 165326441 236180630 330652882 472361260 661305764 826632205 1653264410 3306528820