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3384867780 = 22325716316481
BaseRepresentation
bin1100100111000000…
…1111101111000100
322201220020002200100
43021300033233010
523413011232110
61315513244100
7146610621120
oct31160175704
98656202610
103384867780
111487740298
127a5703630
1341c358258
1424178c580
1514c268bc0
hexc9c0fbc4

3384867780 has 144 divisors (see below), whose sum is σ = 11806913664. Its totient is φ = 768890880.

The previous prime is 3384867763. The next prime is 3384867817. The reversal of 3384867780 is 877684833.

3384867780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33848677802 = 22914659776164256800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197140 + ... + 213620.

It is an arithmetic number, because the mean of its divisors is an integer number (81992456).

Almost surely, 23384867780 is an apocalyptic number.

3384867780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384867780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903456832).

3384867780 is an abundant number, since it is smaller than the sum of its proper divisors (8422045884).

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

3384867780 is a wasteful number, since it uses less digits than its factorization.

3384867780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16666 (or 16661 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 3384867780 is about 58179.6165336280. The cubic root of 3384867780 is about 1501.4604708884.

The spelling of 3384867780 in words is "three billion, three hundred eighty-four million, eight hundred sixty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 163 180 210 252 315 326 420 489 630 652 815 978 1141 1260 1467 1630 1956 2282 2445 2934 3260 3423 4564 4890 5705 5868 6846 7335 9780 10269 11410 13692 14670 16481 17115 20538 22820 29340 32962 34230 41076 49443 51345 65924 68460 82405 98886 102690 115367 148329 164810 197772 205380 230734 247215 296658 329620 346101 461468 494430 576835 593316 692202 741645 988860 1038303 1153670 1384404 1483290 1730505 2076606 2307340 2686403 2966580 3461010 4153212 5191515 5372806 6922020 8059209 10383030 10745612 13432015 16118418 18804821 20766060 24177627 26864030 32236836 37609642 40296045 48355254 53728060 56414463 75219284 80592090 94024105 96710508 112828926 120888135 161184180 169243389 188048210 225657852 241776270 282072315 338486778 376096420 483552540 564144630 676973556 846216945 1128289260 1692433890 3384867780