Search a number
-
+
3270605056 = 2859792741
BaseRepresentation
bin1100001011110001…
…0111100100000000
322102221012221200121
43002330113210000
523144233330211
61300312230024
7144022453465
oct30274274400
98387187617
103270605056
111429197a94
1277339b314
1340178c884
1423052766c
151421e8271
hexc2f17900

3270605056 has 72 divisors (see below), whose sum is σ = 6725577600. Its totient is φ = 1586657280.

The previous prime is 3270605053. The next prime is 3270605101. The reversal of 3270605056 is 6505060723.

It is not an unprimeable number, because it can be changed into a prime (3270605053) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1191846 + ... + 1194586.

It is an arithmetic number, because the mean of its divisors is an integer number (93410800).

Almost surely, 23270605056 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 3270605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362788800).

3270605056 is an abundant number, since it is smaller than the sum of its proper divisors (3454972544).

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

3270605056 is an equidigital number, since it uses as much as digits as its factorization.

3270605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 3270605056 is about 57189.2040161428. The cubic root of 3270605056 is about 1484.3718212074.

Adding to 3270605056 its reverse (6505060723), we get a palindrome (9775665779).

The spelling of 3270605056 in words is "three billion, two hundred seventy million, six hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 59 64 79 118 128 158 236 256 316 472 632 944 1264 1888 2528 2741 3776 4661 5056 5482 7552 9322 10112 10964 15104 18644 20224 21928 37288 43856 74576 87712 149152 161719 175424 216539 298304 323438 350848 433078 596608 646876 701696 866156 1193216 1293752 1732312 2587504 3464624 5175008 6929248 10350016 12775801 13858496 20700032 25551602 27716992 41400064 51103204 55433984 102206408 204412816 408825632 817651264 1635302528 3270605056