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3305343340 = 22513231633391
BaseRepresentation
bin1100010100000011…
…1000100101101100
322112100120211122201
43011000320211230
523232131441330
61303552551244
7144623645335
oct30500704554
98470524581
103305343340
111446864412
12782b52524
13408a33480
14234dab28c
151452aaeca
hexc503896c

3305343340 has 96 divisors (see below), whose sum is σ = 7850336256. Its totient is φ = 1159868160.

The previous prime is 3305343329. The next prime is 3305343343. The reversal of 3305343340 is 433435033.

It is a junction number, because it is equal to n+sod(n) for n = 3305343299 and 3305343308.

It is not an unprimeable number, because it can be changed into a prime (3305343343) 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 31 ways as a sum of consecutive naturals, for example, 973045 + ... + 976435.

It is an arithmetic number, because the mean of its divisors is an integer number (81774336).

Almost surely, 23305343340 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 3305343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925168128).

3305343340 is an abundant number, since it is smaller than the sum of its proper divisors (4544992916).

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

3305343340 is a wasteful number, since it uses less digits than its factorization.

3305343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 28.

The square root of 3305343340 is about 57492.1154594263. The cubic root of 3305343340 is about 1489.6086746159.

Adding to 3305343340 its reverse (433435033), we get a palindrome (3738778373).

The spelling of 3305343340 in words is "three billion, three hundred five million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 163 230 260 299 326 460 598 652 815 1196 1495 1630 2119 2990 3260 3391 3749 4238 5980 6782 7498 8476 10595 13564 14996 16955 18745 21190 33910 37490 42380 44083 48737 67820 74980 77993 88166 97474 155986 176332 194948 220415 243685 311972 389965 440830 487370 552733 779930 881660 974740 1013909 1105466 1559860 2027818 2210932 2763665 4055636 5069545 5527330 7185529 10139090 11054660 12712859 14371058 20278180 25425718 28742116 35927645 50851436 63564295 71855290 127128590 143710580 165267167 254257180 330534334 661068668 826335835 1652671670 3305343340