Search a number
-
+
3382236649 = 1121723112
BaseRepresentation
bin1100100110011000…
…1101010111101001
322201201021102110001
43021212031113221
523411323033044
61315341023001
7146546352151
oct31146152751
98651242401
103382236649
111486203500
127a4854a61
1341b94677c
142412a5761
1514bde92d4
hexc998d5e9

3382236649 has 27 divisors (see below), whose sum is σ = 3961954423. Its totient is φ = 2884587200.

The previous prime is 3382236631. The next prime is 3382236659. The reversal of 3382236649 is 9466322833.

The square root of 3382236649 is 58157.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2633229225 + 749007424 = 51315^2 + 27368^2 .

It is not a de Polignac number, because 3382236649 - 219 = 3381712361 is a prime.

It is a super-2 number, since 2×33822366492 = 22879049499677498402, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3382236599 and 3382236608.

It is not an unprimeable number, because it can be changed into a prime (3382236619) 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 26 ways as a sum of consecutive naturals, for example, 10875204 + ... + 10875514.

Almost surely, 23382236649 is an apocalyptic number.

3382236649 is the 58157-th square number.

3382236649 is the 29079-th centered octagonal number.

It is an amenable number.

3382236649 is a deficient number, since it is larger than the sum of its proper divisors (579717774).

3382236649 is an equidigital number, since it uses as much as digits as its factorization.

3382236649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 46.

The cubic root of 3382236649 is about 1501.0713307995.

The spelling of 3382236649 in words is "three billion, three hundred eighty-two million, two hundred thirty-six thousand, six hundred forty-nine".

Divisors: 1 11 17 121 187 289 311 2057 3179 3421 5287 34969 37631 58157 89879 96721 639727 988669 1063931 1644257 10875359 11703241 18086827 27952369 198955097 307476059 3382236649