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3066064353 = 3311291272803
BaseRepresentation
bin1011011011000000…
…0110110111100001
321220200100012121000
42312300012313201
522234403024403
61224124222213
7135660055062
oct26660066741
97820305530
103066064353
111333793590
1271699a969
1339b2a5881
142112c2569
1512e2937a3
hexb6c06de1

3066064353 has 64 divisors (see below), whose sum is σ = 5168332800. Its totient is φ = 1779382080.

The previous prime is 3066064343. The next prime is 3066064361. The reversal of 3066064353 is 3534606603.

It is a happy number.

3066064353 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 0 + 643 + 5 + 3 = 666.

3066064353 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-3066064353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3066064343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092450 + ... + 1095252.

It is an arithmetic number, because the mean of its divisors is an integer number (80755200).

Almost surely, 23066064353 is an apocalyptic number.

3066064353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3066064353 is a deficient number, since it is larger than the sum of its proper divisors (2102268447).

3066064353 is a wasteful number, since it uses less digits than its factorization.

3066064353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3066064353 is about 55372.0538990563. The cubic root of 3066064353 is about 1452.7596044268.

The spelling of 3066064353 in words is "three billion, sixty-six million, sixty-four thousand, three hundred fifty-three".

Divisors: 1 3 9 11 27 29 33 87 99 127 261 297 319 381 783 957 1143 1397 2803 2871 3429 3683 4191 8409 8613 11049 12573 25227 30833 33147 37719 40513 75681 81287 92499 99441 121539 243861 277497 355981 364617 731583 832491 894157 1067943 1093851 2194749 2682471 3203829 3915791 8047413 9611487 10323449 11747373 24142239 30970347 35242119 92911041 105726357 113557939 278733123 340673817 1022021451 3066064353