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3325403620 = 22572112511229
BaseRepresentation
bin1100011000110101…
…1010000111100100
322120202100000012001
43012031122013210
523302300403440
61305550535044
7145256315200
oct30615320744
98522300161
103325403620
111457115a60
12789807484
1340cc38166
1423790db00
15146e1eb9a
hexc635a1e4

3325403620 has 144 divisors (see below), whose sum is σ = 8904530880. Its totient is φ = 1031520000.

The previous prime is 3325403591. The next prime is 3325403623. The reversal of 3325403620 is 263045233.

It is a super-2 number, since 2×33254036202 = 22116618471818208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3325403623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2705166 + ... + 2706394.

It is an arithmetic number, because the mean of its divisors is an integer number (61837020).

Almost surely, 23325403620 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 3325403620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452265440).

3325403620 is an abundant number, since it is smaller than the sum of its proper divisors (5579127260).

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

3325403620 is a wasteful number, since it uses less digits than its factorization.

3325403620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 3325403620 is about 57666.3126964088. The cubic root of 3325403620 is about 1492.6160998023.

Adding to 3325403620 its reverse (263045233), we get a palindrome (3588448853).

The spelling of 3325403620 in words is "three billion, three hundred twenty-five million, four hundred three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 251 308 385 490 502 539 770 980 1004 1078 1229 1255 1540 1757 2156 2458 2510 2695 2761 3514 4916 5020 5390 5522 6145 7028 8603 8785 10780 11044 12290 12299 13519 13805 17206 17570 19327 24580 24598 27038 27610 34412 35140 38654 43015 49196 54076 55220 60221 61495 67595 77308 86030 94633 96635 120442 122990 135190 135289 172060 189266 193270 240884 245980 270380 270578 301105 308479 378532 386540 473165 541156 602210 616958 662431 676445 946330 1204420 1233916 1324862 1352890 1542395 1892660 2159353 2649724 2705780 3084790 3312155 3393269 4318706 6169580 6624310 6786538 8637412 10796765 13248620 13573076 15115471 16966345 21593530 23752883 30230942 33932690 43187060 47505766 60461884 67865380 75577355 95011532 118764415 151154710 166270181 237528830 302309420 332540362 475057660 665080724 831350905 1662701810 3325403620