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3420666774 = 235723792
BaseRepresentation
bin1100101111100011…
…0011101110010110
322211101120212200000
43023320303232112
524001142314044
61323232432130
7150524121300
oct31370635626
98741525600
103420666774
1114a5971638
127b56a8646
134268b08a5
1424642a970
1515048ad69
hexcbe33b96

3420666774 has 108 divisors (see below), whose sum is σ = 8964443124. Its totient is φ = 974754648.

The previous prime is 3420666763. The next prime is 3420666779. The reversal of 3420666774 is 4776660243.

It is a super-2 number, since 2×34206667742 = 23401922357495134152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420666779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9025317 + ... + 9025695.

It is an arithmetic number, because the mean of its divisors is an integer number (83004103).

Almost surely, 23420666774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420666774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482221562).

3420666774 is an abundant number, since it is smaller than the sum of its proper divisors (5543776350).

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

3420666774 is an frugal number, since it uses more digits than its factorization.

3420666774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3420666774 is about 58486.4665884339. The cubic root of 3420666774 is about 1506.7351611403.

The spelling of 3420666774 in words is "three billion, four hundred twenty million, six hundred sixty-six thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 379 441 486 567 758 882 1134 1137 1323 1701 2274 2646 2653 3402 3411 3969 5306 6822 7938 7959 10233 11907 15918 18571 20466 23814 23877 30699 37142 47754 55713 61398 71631 92097 111426 143262 143641 167139 184194 214893 287282 334278 429786 430923 501417 644679 861846 1002834 1005487 1289358 1292769 1504251 2010974 2585538 3008502 3016461 3878307 4512753 6032922 7038409 7756614 9025506 9049383 11634921 14076818 18098766 21115227 23269842 27148149 34904763 42230454 54296298 63345681 69809526 81444447 126691362 162888894 190037043 244333341 380074086 488666682 570111129 1140222258 1710333387 3420666774