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3430073306 = 21117192331677
BaseRepresentation
bin1100110001110010…
…1100001111011010
322212001021210000002
43030130230033122
524011044321211
61324210213002
7151000066502
oct31434541732
98761253002
103430073306
111500206930
127b8884162
1342882529a
14247798a02
151511e803b
hexcc72c3da

3430073306 has 128 divisors (see below), whose sum is σ = 6748323840. Its totient is φ = 1284940800.

The previous prime is 3430073299. The next prime is 3430073327. The reversal of 3430073306 is 6033700343.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5066240 + ... + 5066916.

It is an arithmetic number, because the mean of its divisors is an integer number (52721280).

Almost surely, 23430073306 is an apocalyptic number.

3430073306 is a deficient number, since it is larger than the sum of its proper divisors (3318250534).

3430073306 is a wasteful number, since it uses less digits than its factorization.

3430073306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its (nonzero) digits is 13608, while the sum is 29.

The square root of 3430073306 is about 58566.8276928160. The cubic root of 3430073306 is about 1508.1150266866.

Adding to 3430073306 its reverse (6033700343), we get a palindrome (9463773649).

The spelling of 3430073306 in words is "three billion, four hundred thirty million, seventy-three thousand, three hundred six".

Divisors: 1 2 11 17 19 22 23 31 34 38 46 62 187 209 253 323 341 374 391 418 437 506 527 589 646 677 682 713 782 874 1054 1178 1354 1426 3553 4301 4807 5797 6479 7106 7429 7447 7843 8602 9614 10013 11509 11594 12121 12863 12958 13547 14858 14894 15571 15686 20026 20987 23018 24242 25726 27094 31142 41974 81719 110143 126599 133331 141493 149017 163438 171281 218671 220286 230299 230857 253198 264707 266662 282986 295849 298034 342562 356779 398753 437342 460598 461714 482701 529414 591698 713558 797506 965402 2405381 2533289 2911777 3254339 3924569 4386283 4810762 5029433 5066578 5309711 5823554 6508678 6778801 7849138 8205917 8772566 9171319 10058866 10619422 13557602 16411834 18342638 55323763 74566811 90265087 100884509 110647526 149133622 155912423 180530174 201769018 311824846 1715036653 3430073306