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3324102320 = 245711249057
BaseRepresentation
bin1100011000100001…
…1100011010110000
322120122212220010202
43012020130122300
523301432233240
61305503014332
7145242255260
oct30610343260
98518786122
103324102320
111456407300
1278929a3a8
1340c8a0a66
142376917a0
15146c64315
hexc621c6b0

3324102320 has 120 divisors (see below), whose sum is σ = 9708774432. Its totient is φ = 1036062720.

The previous prime is 3324102319. The next prime is 3324102343. The reversal of 3324102320 is 232014233.

It is a super-2 number, since 2×33241023202 = 22099312467658764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3324102292 and 3324102301.

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 23 ways as a sum of consecutive naturals, for example, 43232 + ... + 92288.

Almost surely, 23324102320 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 3324102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854387216).

3324102320 is an abundant number, since it is smaller than the sum of its proper divisors (6384672112).

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

3324102320 is a wasteful number, since it uses less digits than its factorization.

3324102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49099 (or 49082 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3324102320 is about 57655.0285751382. The cubic root of 3324102320 is about 1492.4213770992.

Adding to 3324102320 its reverse (232014233), we get a palindrome (3556116553).

The spelling of 3324102320 in words is "three billion, three hundred twenty-four million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 3080 3388 4235 4840 6160 6776 8470 9680 13552 16940 33880 49057 67760 98114 196228 245285 343399 392456 490570 539627 686798 784912 981140 1079254 1373596 1716995 1962280 2158508 2698135 2747192 3433990 3777389 3924560 4317016 5396270 5494384 5935897 6867980 7554778 8634032 10792540 11871794 13735960 15109556 18886945 21585080 23743588 27471920 29679485 30219112 37773890 41551279 43170160 47487176 59358970 60438224 75547780 83102558 94974352 118717940 151095560 166205116 207756395 237435880 302191120 332410232 415512790 474871760 664820464 831025580 1662051160 3324102320