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3340908493 = 13172232412
BaseRepresentation
bin1100011100100010…
…0011011111001101
322121211111201212121
43013020203133031
523320233032433
61311303132541
7145535152666
oct30710433715
98554451777
103340908493
111464945aaa
12792a44151
13413206540
142399c836d
15148483c2d
hexc72237cd

3340908493 has 54 divisors (see below), whose sum is σ = 4095216062. Its totient is φ = 2708597760.

The previous prime is 3340908469. The next prime is 3340908511. The reversal of 3340908493 is 3948090433.

It can be written as a sum of positive squares in 9 ways, for example, as 1907680329 + 1433228164 = 43677^2 + 37858^2 .

It is not a de Polignac number, because 3340908493 - 213 = 3340900301 is a prime.

It is a super-2 number, since 2×33409084932 = 22323339117199062098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340908413) 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 53 ways as a sum of consecutive naturals, for example, 81485553 + ... + 81485593.

Almost surely, 23340908493 is an apocalyptic number.

It is an amenable number.

3340908493 is a deficient number, since it is larger than the sum of its proper divisors (754307569).

3340908493 is a wasteful number, since it uses less digits than its factorization.

3340908493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 3340908493 is about 57800.5924969632. The cubic root of 3340908493 is about 1494.9323046270.

The spelling of 3340908493 in words is "three billion, three hundred forty million, nine hundred eight thousand, four hundred ninety-three".

Divisors: 1 13 17 23 41 221 289 299 391 529 533 697 943 1681 3757 5083 6647 6877 8993 9061 11849 12259 16031 21689 21853 28577 38663 86411 116909 152881 154037 208403 272527 281957 368713 371501 485809 502619 657271 889249 1987453 3542851 4793269 6268121 6315517 8544523 11173607 11560237 15117233 81485573 145256891 196524029 256992961 3340908493