Search a number
-
+
3385928940 = 2235717910061
BaseRepresentation
bin1100100111010001…
…0010110011101100
322201222020000022120
43021310102303230
523413244211230
61315552112540
7146622630642
oct31164226354
98658200276
103385928940
1114882a5589
127a5b35750
1341c63a264
14241987192
1514c3c8310
hexc9d12cec

3385928940 has 96 divisors (see below), whose sum is σ = 9736796160. Its totient is φ = 878841600.

The previous prime is 3385928929. The next prime is 3385928977. The reversal of 3385928940 is 498295833.

3385928940 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 2×33859289402 = 22929029573459047200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331510 + ... + 341570.

It is an arithmetic number, because the mean of its divisors is an integer number (101424960).

Almost surely, 23385928940 is an apocalyptic number.

3385928940 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 3385928940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868398080).

3385928940 is an abundant number, since it is smaller than the sum of its proper divisors (6350867220).

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

3385928940 is a wasteful number, since it uses less digits than its factorization.

3385928940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 3385928940 is about 58188.7355078283. The cubic root of 3385928940 is about 1501.6173576982.

The spelling of 3385928940 in words is "three billion, three hundred eighty-five million, nine hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 79 142 158 213 237 284 316 355 395 426 474 710 790 852 948 1065 1185 1420 1580 2130 2370 4260 4740 5609 10061 11218 16827 20122 22436 28045 30183 33654 40244 50305 56090 60366 67308 84135 100610 112180 120732 150915 168270 201220 301830 336540 603660 714331 794819 1428662 1589638 2142993 2384457 2857324 3179276 3571655 3974095 4285986 4768914 7143310 7948190 8571972 9537828 10714965 11922285 14286620 15896380 21429930 23844570 42859860 47689140 56432149 112864298 169296447 225728596 282160745 338592894 564321490 677185788 846482235 1128642980 1692964470 3385928940