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3320381736 = 2332753124303
BaseRepresentation
bin1100010111101001…
…0000000100101000
322120101212212110100
43011322100010220
523300004203421
61305251145400
7145165531140
oct30572200450
98511785410
103320381736
1114542a5a41
12787ba5260
1340bb9a429
14236da3920
1514677bc26
hexc5e90128

3320381736 has 96 divisors (see below), whose sum is σ = 10471368960. Its totient is φ = 930773376.

The previous prime is 3320381719. The next prime is 3320381737. The reversal of 3320381736 is 6371830233.

It is a happy number.

It is a super-2 number, since 2×33203817362 = 22049869745524747392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3320381736.

It is not an unprimeable number, because it can be changed into a prime (3320381737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35440 + ... + 88863.

It is an arithmetic number, because the mean of its divisors is an integer number (109076760).

Almost surely, 23320381736 is an apocalyptic number.

3320381736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3320381736 is an abundant number, since it is smaller than the sum of its proper divisors (7150987224).

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

3320381736 is a wasteful number, since it uses less digits than its factorization.

3320381736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124375 (or 124368 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3320381736 is about 57622.7536308358. The cubic root of 3320381736 is about 1491.8643593433.

The spelling of 3320381736 in words is "three billion, three hundred twenty million, three hundred eighty-one thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1908 2226 2968 3339 3816 4452 6678 8904 13356 26712 124303 248606 372909 497212 745818 870121 994424 1118727 1491636 1740242 2237454 2610363 2983272 3480484 4474908 5220726 6588059 6960968 7831089 8949816 10441452 13176118 15662178 19764177 20882904 26352236 31324356 39528354 46116413 52704472 59292531 62648712 79056708 92232826 118585062 138349239 158113416 184465652 237170124 276698478 368931304 415047717 474340248 553396956 830095434 1106793912 1660190868 3320381736