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3260840128 = 2671333313
BaseRepresentation
bin1100001001011100…
…0111100011000000
322102020211211201121
43002113013203000
523134233341003
61255323042024
7143543453350
oct30227074300
98366754647
103260840128
1114237284a7
12770070314
133cc751000
1422d104b60
15141419cbd
hexc25c78c0

3260840128 has 112 divisors (see below), whose sum is σ = 8013517120. Its totient is φ = 1289613312.

The previous prime is 3260840041. The next prime is 3260840129. The reversal of 3260840128 is 8210480623.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3260840093 and 3260840102.

It is not an unprimeable number, because it can be changed into a prime (3260840129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 982600 + ... + 985912.

It is an arithmetic number, because the mean of its divisors is an integer number (71549260).

Almost surely, 23260840128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3260840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006758560).

3260840128 is an abundant number, since it is smaller than the sum of its proper divisors (4752676992).

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

3260840128 is an equidigital number, since it uses as much as digits as its factorization.

3260840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 3260840128 is about 57103.7663206202. The cubic root of 3260840128 is about 1482.8930700075.

The spelling of 3260840128 in words is "three billion, two hundred sixty million, eight hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1183 1352 1456 2197 2366 2704 2912 3313 4394 4732 5408 5824 6626 8788 9464 10816 13252 15379 17576 18928 23191 26504 30758 35152 37856 43069 46382 53008 61516 70304 75712 86138 92764 106016 123032 140608 172276 185528 212032 246064 301483 344552 371056 492128 559897 602966 689104 742112 984256 1119794 1205932 1378208 1484224 2239588 2411864 2756416 3919279 4479176 4823728 7278661 7838558 8958352 9647456 14557322 15677116 17916704 19294912 29114644 31354232 35833408 50950627 58229288 62708464 101901254 116458576 125416928 203802508 232917152 250833856 407605016 465834304 815210032 1630420064 3260840128