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3383438289 = 3721110120717
BaseRepresentation
bin1100100110101011…
…0010101111010001
322201210112110210020
43021222302233101
523412130011124
61315422454053
7146562515400
oct31152625721
98653473706
103383438289
1114869542a0
127a5134329
1341bc776ba
142414d9637
1514c085379
hexc9ab2bd1

3383438289 has 48 divisors (see below), whose sum is σ = 5781813696. Its totient is φ = 1740144000.

The previous prime is 3383438213. The next prime is 3383438297. The reversal of 3383438289 is 9828343833.

It is a happy number.

It is not a de Polignac number, because 3383438289 - 211 = 3383436241 is a prime.

It is a super-2 number, since 2×33834382892 = 22895309310942495042, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3383438389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152959 + ... + 173675.

It is an arithmetic number, because the mean of its divisors is an integer number (120454452).

Almost surely, 23383438289 is an apocalyptic number.

It is an amenable number.

3383438289 is a deficient number, since it is larger than the sum of its proper divisors (2398375407).

3383438289 is a wasteful number, since it uses less digits than its factorization.

3383438289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20846 (or 20839 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 3383438289 is about 58167.3300831317. The cubic root of 3383438289 is about 1501.2490764722.

The spelling of 3383438289 in words is "three billion, three hundred eighty-three million, four hundred thirty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 7 11 21 33 49 77 101 147 231 303 539 707 1111 1617 2121 3333 4949 7777 14847 20717 23331 54439 62151 145019 163317 227887 435057 683661 1015133 1595209 2092417 3045399 4785627 6277251 11166463 14646919 23016587 33499389 43940757 69049761 102528433 161116109 307585299 483348327 1127812763 3383438289