Search a number
-
+
3440440443 = 3116110715973
BaseRepresentation
bin1100110100010000…
…1111010001111011
322212202210111001010
43031010033101323
524021223043233
61325220325003
7151154155416
oct31504172173
98782714033
103440440443
111506047910
12800243763
1342aa14c9b
14248cd6b7d
15152094b63
hexcd10f47b

3440440443 has 32 divisors (see below), whose sum is σ = 5134171392. Its totient is φ = 2031638400.

The previous prime is 3440440439. The next prime is 3440440469.

3440440443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3440440443 - 22 = 3440440439 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3440440443.

It is not an unprimeable number, because it can be changed into a prime (3440440043) 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 31 ways as a sum of consecutive naturals, for example, 207405 + ... + 223377.

It is an arithmetic number, because the mean of its divisors is an integer number (160442856).

Almost surely, 23440440443 is an apocalyptic number.

3440440443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3440440443 is a deficient number, since it is larger than the sum of its proper divisors (1693730949).

3440440443 is a wasteful number, since it uses less digits than its factorization.

3440440443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16155.

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3440440443 is about 58655.2678196937. The cubic root of 3440440443 is about 1509.6328863545.

It can be divided in two parts, 34404 and 40443, that added together give a palindrome (74847).

The spelling of 3440440443 in words is "three billion, four hundred forty million, four hundred forty thousand, four hundred forty-three".

Divisors: 1 3 11 33 61 107 183 321 671 1177 2013 3531 6527 15973 19581 47919 71797 175703 215391 527109 974353 1709111 2923059 5127333 10717883 18800221 32153649 56400663 104255771 312767313 1146813481 3440440443