Search a number
-
+
3330660036 = 2231128292767
BaseRepresentation
bin1100011010000101…
…1101011011000100
322121010020001122010
43012201131123010
523310122110121
61310255334220
7145352100054
oct30641353304
98533201563
103330660036
11145a086200
1278b521370
13411058872
142384bb564
1514760c376
hexc685d6c4

3330660036 has 72 divisors (see below), whose sum is σ = 8555666560. Its totient is φ = 1007709120.

The previous prime is 3330660031. The next prime is 3330660089. The reversal of 3330660036 is 6300660333.

It is a super-2 number, since 2×33306600362 = 22186592550815042592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330659985 and 3330660012.

It is not an unprimeable number, because it can be changed into a prime (3330660031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202325 + ... + 1205091.

Almost surely, 23330660036 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 3330660036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277833280).

3330660036 is an abundant number, since it is smaller than the sum of its proper divisors (5225006524).

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

3330660036 is a wasteful number, since it uses less digits than its factorization.

3330660036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

The square root of 3330660036 is about 57711.8708412749. The cubic root of 3330660036 is about 1493.4021378047.

It can be divided in two parts, 3330 and 660036, that added together give a palindrome (663366).

The spelling of 3330660036 in words is "three billion, three hundred thirty million, six hundred sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 829 1452 1658 2487 2767 3316 4974 5534 8301 9119 9948 11068 16602 18238 27357 30437 33204 36476 54714 60874 91311 100309 109428 121748 182622 200618 300927 334807 365244 401236 601854 669614 1004421 1203708 1339228 2008842 2293843 4017684 4587686 6881529 9175372 13763058 25232273 27526116 50464546 75696819 100929092 151393638 277555003 302787276 555110006 832665009 1110220012 1665330018 3330660036