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3382855224 = 233741661743
BaseRepresentation
bin1100100110100010…
…0100011000111000
322201202102211222020
43021220210120320
523412002331344
61315402154440
7146554536450
oct31150443070
98652384866
103382855224
111486596221
127a4ab2a20
1341bb021a8
142413c6d60
1514bebc719
hexc9a24638

3382855224 has 128 divisors (see below), whose sum is σ = 9929364480. Its totient is φ = 940262400.

The previous prime is 3382855207. The next prime is 3382855243. The reversal of 3382855224 is 4225582833.

It is a super-2 number, since 2×33828552242 = 22887418933088180352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4552597 + ... + 4553339.

It is an arithmetic number, because the mean of its divisors is an integer number (77573160).

Almost surely, 23382855224 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 3382855224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964682240).

3382855224 is an abundant number, since it is smaller than the sum of its proper divisors (6546509256).

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

3382855224 is a wasteful number, since it uses less digits than its factorization.

3382855224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 3382855224 is about 58162.3179042926. The cubic root of 3382855224 is about 1501.1628351988.

The spelling of 3382855224 in words is "three billion, three hundred eighty-two million, eight hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 661 743 861 984 1148 1322 1486 1722 1983 2229 2296 2644 2972 3444 3966 4458 4627 5201 5288 5944 6888 7932 8916 9254 10402 13881 15603 15864 17832 18508 20804 27101 27762 30463 31206 37016 41608 54202 55524 60926 62412 81303 91389 108404 111048 121852 124824 162606 182778 189707 213241 216808 243704 325212 365556 379414 426482 491123 569121 639723 650424 731112 758828 852964 982246 1138242 1279446 1473369 1517656 1705928 1964492 2276484 2558892 2946738 3437861 3928984 4552968 5117784 5893476 6875722 10313583 11786952 13751444 20136043 20627166 27502888 40272086 41254332 60408129 80544172 82508664 120816258 140952301 161088344 241632516 281904602 422856903 483265032 563809204 845713806 1127618408 1691427612 3382855224