Search a number
-
+
3427098255 = 3657177901
BaseRepresentation
bin1100110001000101…
…0101111010001111
322211211200122000000
43030101111322033
524004314121010
61324022335343
7150632566050
oct31421257217
98754618000
103427098255
1114a9564709
127b788a553
134280230b9
14247222727
15150d0b7c0
hexcc455e8f

3427098255 has 112 divisors (see below), whose sum is σ = 7462269504. Its totient is φ = 1474329600.

The previous prime is 3427098251. The next prime is 3427098277. The reversal of 3427098255 is 5528907243.

It is not a de Polignac number, because 3427098255 - 22 = 3427098251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3427098255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427098251) 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 111 ways as a sum of consecutive naturals, for example, 429805 + ... + 437705.

Almost surely, 23427098255 is an apocalyptic number.

3427098255 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3427098255 is an abundant number, since it is smaller than the sum of its proper divisors (4035171249).

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

3427098255 is an equidigital number, since it uses as much as digits as its factorization.

3427098255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3427098255 is about 58541.4234111198. The cubic root of 3427098255 is about 1507.6788827601.

The spelling of 3427098255 in words is "three billion, four hundred twenty-seven million, ninety-eight thousand, two hundred fifty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 243 255 315 357 405 459 567 595 729 765 945 1071 1215 1377 1701 1785 2295 2835 3213 3645 4131 5103 5355 6885 7901 8505 9639 12393 16065 20655 23703 25515 28917 39505 48195 55307 61965 71109 86751 118515 134317 144585 165921 213327 276535 355545 402951 433755 497763 639981 671585 829605 940219 1066635 1208853 1493289 1919943 2014755 2488815 2820657 3199905 3626559 4479867 4701095 5759829 6044265 7466445 8461971 9599715 10879677 13439601 14103285 18132795 22399335 25385913 28799145 32639031 40318803 42309855 54398385 67198005 76157739 97917093 126929565 163195155 201594015 228473217 380788695 489585465 685419651 1142366085 3427098255