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3282222328 = 2371144911867
BaseRepresentation
bin1100001110100010…
…1011110011111000
322110202002011120221
43003220223303320
523210222103303
61301405225424
7144223300210
oct30350536370
98422064527
103282222328
111434802240
12777262274
13403cc95b8
14231cad240
151432404bd
hexc3a2bcf8

3282222328 has 64 divisors (see below), whose sum is σ = 7690464000. Its totient is φ = 1275832320.

The previous prime is 3282222311. The next prime is 3282222329. The reversal of 3282222328 is 8232222823.

It is a junction number, because it is equal to n+sod(n) for n = 3282222293 and 3282222302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282222329) 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 15 ways as a sum of consecutive naturals, for example, 270651 + ... + 282517.

It is an arithmetic number, because the mean of its divisors is an integer number (120163500).

Almost surely, 23282222328 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 3282222328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845232000).

3282222328 is an abundant number, since it is smaller than the sum of its proper divisors (4408241672).

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

3282222328 is a wasteful number, since it uses less digits than its factorization.

3282222328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12340 (or 12336 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 3282222328 is about 57290.6827328842. The cubic root of 3282222328 is about 1486.1272531677.

The spelling of 3282222328 in words is "three billion, two hundred eighty-two million, two hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 449 616 898 1796 3143 3592 4939 6286 9878 11867 12572 19756 23734 25144 34573 39512 47468 69146 83069 94936 130537 138292 166138 261074 276584 332276 522148 664552 913759 1044296 1827518 3655036 5328283 7310072 10656566 21313132 37297981 42626264 58611113 74595962 117222226 149191924 234444452 298383848 410277791 468888904 820555582 1641111164 3282222328