Search a number
-
+
3285860000 = 2554198647
BaseRepresentation
bin1100001111011010…
…0011111010100000
322110222220222112112
43003312203322200
523212140010000
61302015214452
7144266230523
oct30366437240
98428828475
103285860000
111436867285
12778517428
134049a1277
14232578bba
1514370d235
hexc3da3ea0

3285860000 has 120 divisors (see below), whose sum is σ = 8510150880. Its totient is φ = 1245024000.

The previous prime is 3285859987. The next prime is 3285860003. The reversal of 3285860000 is 685823.

3285860000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3285860003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 375677 + ... + 384323.

It is an arithmetic number, because the mean of its divisors is an integer number (70917924).

Almost surely, 23285860000 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 3285860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255075440).

3285860000 is an abundant number, since it is smaller than the sum of its proper divisors (5224290880).

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

3285860000 is an equidigital number, since it uses as much as digits as its factorization.

3285860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3285860000 is about 57322.4214422245. The cubic root of 3285860000 is about 1486.6760731461.

The spelling of 3285860000 in words is "three billion, two hundred eighty-five million, eight hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3800 4000 4750 5000 7600 8647 9500 10000 11875 15200 17294 19000 20000 23750 34588 38000 43235 47500 69176 76000 86470 95000 138352 164293 172940 190000 216175 276704 328586 345880 380000 432350 657172 691760 821465 864700 1080875 1314344 1383520 1642930 1729400 2161750 2628688 3285860 3458800 4107325 4323500 5257376 5404375 6571720 6917600 8214650 8647000 10808750 13143440 16429300 17294000 20536625 21617500 26286880 32858600 34588000 41073250 43235000 65717200 82146500 86470000 102683125 131434400 164293000 172940000 205366250 328586000 410732500 657172000 821465000 1642930000 3285860000