Search a number
-
+
3426760610 = 257213241381
BaseRepresentation
bin1100110001000000…
…0011011110100010
322211211001110211122
43030100003132202
524004222314420
61324011212242
7150626661500
oct31420033642
98754043748
103426760610
1114a9353a69
127b7747082
13427c35500
14247175670
15150c91725
hexcc4037a2

3426760610 has 72 divisors (see below), whose sum is σ = 7769801556. Its totient is φ = 1084487040.

The previous prime is 3426760559. The next prime is 3426760679. The reversal of 3426760610 is 160676243.

It can be written as a sum of positive squares in 6 ways, for example, as 437186281 + 2989574329 = 20909^2 + 54677^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 62120 + ... + 103500.

Almost surely, 23426760610 is an apocalyptic number.

3426760610 is an abundant number, since it is smaller than the sum of its proper divisors (4343040946).

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

3426760610 is a wasteful number, since it uses less digits than its factorization.

3426760610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41428 (or 41408 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 3426760610 is about 58538.5395273917. The cubic root of 3426760610 is about 1507.6293678919.

The spelling of 3426760610 in words is "three billion, four hundred twenty-six million, seven hundred sixty thousand, six hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 169 182 245 338 455 490 637 845 910 1183 1274 1690 2366 3185 5915 6370 8281 11830 16562 41381 41405 82762 82810 206905 289667 413810 537953 579334 1075906 1448335 2027669 2689765 2896670 3765671 4055338 5379530 6993389 7531342 10138345 13986778 18828355 20276690 26359697 34966945 37656710 48953723 52719394 69933890 97907446 131798485 244768615 263596970 342676061 489537230 685352122 1713380305 3426760610