Search a number
-
+
3280359628 = 2271323591931
BaseRepresentation
bin1100001110000110…
…0101000011001100
322110121120112110001
43003201211003030
523204233002003
61301301254044
7144201411460
oct30341450314
98417515401
103280359628
11143374a817
12776704324
134037c6800
142319464a0
15142ec361d
hexc38650cc

3280359628 has 72 divisors (see below), whose sum is σ = 7127688960. Its totient is φ = 1293439680.

The previous prime is 3280359623. The next prime is 3280359629. The reversal of 3280359628 is 8269530823.

It is not an unprimeable number, because it can be changed into a prime (3280359623) 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 23 ways as a sum of consecutive naturals, for example, 1697823 + ... + 1699753.

It is an arithmetic number, because the mean of its divisors is an integer number (98995680).

Almost surely, 23280359628 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 3280359628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563844480).

3280359628 is an abundant number, since it is smaller than the sum of its proper divisors (3847329332).

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

3280359628 is a wasteful number, since it uses less digits than its factorization.

3280359628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 3280359628 is about 57274.4238556792. The cubic root of 3280359628 is about 1485.8460683701.

The spelling of 3280359628 in words is "three billion, two hundred eighty million, three hundred fifty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 359 364 676 718 1183 1436 1931 2366 2513 3862 4667 4732 5026 7724 9334 10052 13517 18668 25103 27034 32669 50206 54068 60671 65338 100412 121342 130676 175721 242684 326339 351442 424697 652678 693229 702884 849394 1305356 1386458 1698788 2284373 2772916 4568746 4852603 9011977 9137492 9705206 18023954 19410412 36047908 63083839 117155701 126167678 234311402 252335356 468622804 820089907 1640179814 3280359628