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3336820146 = 2321121790121
BaseRepresentation
bin1100011011100011…
…1101010110110010
322121112211000201100
43012320331112302
523313211221041
61311035345230
7145455334422
oct30670752662
98545730640
103336820146
111462603400
127915b2216
134124046ba
14239242482
15147e276b6
hexc6e3d5b2

3336820146 has 72 divisors (see below), whose sum is σ = 8414330652. Its totient is φ = 951667200.

The previous prime is 3336820141. The next prime is 3336820169. The reversal of 3336820146 is 6410286333.

It can be written as a sum of positive squares in 2 ways, for example, as 2559246921 + 777573225 = 50589^2 + 27885^2 .

It is a super-2 number, since 2×33368201462 = 22268737373502922632, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3336820146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336820141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8035 + ... + 82086.

Almost surely, 23336820146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3336820146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207165326).

3336820146 is an abundant number, since it is smaller than the sum of its proper divisors (5077510506).

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

3336820146 is a wasteful number, since it uses less digits than its factorization.

3336820146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90168 (or 90154 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3336820146 is about 57765.2157098024. The cubic root of 3336820146 is about 1494.3222613047.

The spelling of 3336820146 in words is "three billion, three hundred thirty-six million, eight hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 4114 6171 12342 18513 37026 90121 180242 270363 540726 811089 991331 1532057 1622178 1982662 2973993 3064114 4596171 5947986 8921979 9192342 10904641 13788513 16852627 17843958 21809282 27577026 32713923 33705254 50557881 65427846 98141769 101115762 151673643 185378897 196283538 303347286 370757794 556136691 1112273382 1668410073 3336820146