Search a number
-
+
3282213620 = 2257232935149
BaseRepresentation
bin1100001110100010…
…1001101011110100
322110202001201122102
43003220221223310
523210221313440
61301405121232
7144223232630
oct30350515364
98422051572
103282213620
1114347a6744
12777259218
13403cc564a
14231ca9dc0
1514323cb15
hexc3a29af4

3282213620 has 96 divisors (see below), whose sum is σ = 8503488000. Its totient is φ = 1039256064.

The previous prime is 3282213619. The next prime is 3282213677. The reversal of 3282213620 is 263122823.

3282213620 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 (29).

It is a congruent number.

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, 75806 + ... + 110954.

It is an arithmetic number, because the mean of its divisors is an integer number (88578000).

Almost surely, 23282213620 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 3282213620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251744000).

3282213620 is an abundant number, since it is smaller than the sum of its proper divisors (5221274380).

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

3282213620 is a wasteful number, since it uses less digits than its factorization.

3282213620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35217 (or 35215 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3282213620 is about 57290.6067344377. The cubic root of 3282213620 is about 1486.1259388948.

The spelling of 3282213620 in words is "three billion, two hundred eighty-two million, two hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 29 35 46 58 70 92 115 116 140 145 161 203 230 290 322 406 460 580 644 667 805 812 1015 1334 1610 2030 2668 3220 3335 4060 4669 6670 9338 13340 18676 23345 35149 46690 70298 93380 140596 175745 246043 351490 492086 702980 808427 984172 1019321 1230215 1616854 2038642 2460430 3233708 4042135 4077284 4920860 5096605 5658989 7135247 8084270 10193210 11317978 14270494 16168540 20386420 22635956 23444383 28294945 28540988 35676235 46888766 56589890 71352470 93777532 113179780 117221915 142704940 164110681 234443830 328221362 468887660 656442724 820553405 1641106810 3282213620