Search a number
-
+
3329031041 = 7267939409
BaseRepresentation
bin1100011001101100…
…1111101110000001
322121000011022001222
43012123033232001
523304212443131
61310200404425
7145332203600
oct30633175601
98530138058
103329031041
111459173326
1278aa76715
1341090826b
142381b5a37
151473d987b
hexc66cfb81

3329031041 has 6 divisors (see below), whose sum is σ = 3872546370. Its totient is φ = 2853455136.

The previous prime is 3329031011. The next prime is 3329031047. The reversal of 3329031041 is 1401309233.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2360016400 + 969014641 = 48580^2 + 31129^2 .

It is not a de Polignac number, because 3329031041 - 210 = 3329030017 is a prime.

It is a super-2 number, since 2×33290310412 = 22164895343883087362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3329031041.

It is not an unprimeable number, because it can be changed into a prime (3329031047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33969656 + ... + 33969753.

It is an arithmetic number, because the mean of its divisors is an integer number (645424395).

Almost surely, 23329031041 is an apocalyptic number.

It is an amenable number.

3329031041 is a deficient number, since it is larger than the sum of its proper divisors (543515329).

3329031041 is an equidigital number, since it uses as much as digits as its factorization.

3329031041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67939423 (or 67939416 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 3329031041 is about 57697.7559442306. The cubic root of 3329031041 is about 1493.1586283794.

The spelling of 3329031041 in words is "three billion, three hundred twenty-nine million, thirty-one thousand, forty-one".

Divisors: 1 7 49 67939409 475575863 3329031041