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3306298905 = 345713283317
BaseRepresentation
bin1100010100010010…
…0001111000011001
322112102101101110000
43011010201320121
523232403031110
61304025243213
7144635035260
oct30504417031
98472341400
103306298905
111447357338
12783333509
13408ca93b0
142351795d7
151453e91c0
hexc5121e19

3306298905 has 160 divisors (see below), whose sum is σ = 7343449344. Its totient is φ = 1385869824.

The previous prime is 3306298901. The next prime is 3306298943. The reversal of 3306298905 is 5098926033.

It is not a de Polignac number, because 3306298905 - 22 = 3306298901 is a prime.

It is a super-2 number, since 2×33062989052 = 21863224898408398050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3306298901) 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 159 ways as a sum of consecutive naturals, for example, 10429807 + ... + 10430123.

Almost surely, 23306298905 is an apocalyptic number.

3306298905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3306298905 is an abundant number, since it is smaller than the sum of its proper divisors (4037150439).

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

3306298905 is a wasteful number, since it uses less digits than its factorization.

3306298905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3306298905 is about 57500.4252592970. The cubic root of 3306298905 is about 1489.7522079416.

The spelling of 3306298905 in words is "three billion, three hundred six million, two hundred ninety-eight thousand, nine hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 283 315 317 351 405 455 567 585 819 849 945 951 1053 1365 1415 1585 1755 1981 2219 2457 2547 2835 2853 3679 4095 4121 4245 4755 5265 5943 6657 7371 7641 8559 9905 11037 11095 12285 12363 12735 14265 17829 18395 19971 20605 22923 25677 25753 28847 29715 33111 33285 36855 37089 38205 42795 53487 55185 59913 61815 77259 86541 89145 89711 99333 99855 111267 114615 128385 128765 144235 160461 165555 179739 185445 231777 259623 267435 269133 297999 299565 333801 386295 432705 448555 496665 556335 627977 695331 778869 802305 807399 898695 1158885 1166243 1298115 1345665 1489995 1669005 1883931 2085993 2336607 2422197 3139885 3476655 3498729 3894345 4036995 5651793 5831215 7266591 8163701 9419655 10429965 10496187 11683035 12110985 16955379 17493645 24491103 28258965 31488561 36332955 40818505 50866137 52480935 73473309 84776895 94465683 122455515 157442805 220419927 254330685 367366545 472328415 661259781 1102099635 3306298905