Search a number
-
+
4331441334 = 23112931371973
BaseRepresentation
bin1000000100010110…
…01000110010110110
3102011212101000111010
410002023020302312
532332322110314
61553445453050
7212223433563
oct40213106266
912155330433
104331441334
111922a92a90
12a0a711186
135404aa54c
142d138d86a
151a53e5059
hex1022c8cb6

4331441334 has 128 divisors (see below), whose sum is σ = 10369658880. Its totient is φ = 1192665600.

The previous prime is 4331441333. The next prime is 4331441353.

4331441334 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×43314413342 = 37522768059767399112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331441333) 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 63 ways as a sum of consecutive naturals, for example, 2194372 + ... + 2196344.

It is an arithmetic number, because the mean of its divisors is an integer number (81012960).

Almost surely, 24331441334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331441334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184829440).

4331441334 is an abundant number, since it is smaller than the sum of its proper divisors (6038217546).

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

4331441334 is a wasteful number, since it uses less digits than its factorization.

4331441334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086.

The product of its digits is 20736, while the sum is 30.

The square root of 4331441334 is about 65813.6865249167. The cubic root of 4331441334 is about 1630.0871061383.

It can be divided in two parts, 43314 and 41334, that added together give a palindrome (84648).

The spelling of 4331441334 in words is "four billion, three hundred thirty-one million, four hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 31 33 37 58 62 66 74 87 93 111 174 186 222 319 341 407 638 682 814 899 957 1023 1073 1147 1221 1798 1914 1973 2046 2146 2294 2442 2697 3219 3441 3946 5394 5919 6438 6882 9889 11803 11838 12617 19778 21703 23606 25234 29667 33263 35409 37851 43406 57217 59334 61163 65109 66526 70818 73001 75702 99789 114434 122326 130218 146002 171651 183489 199578 219003 343302 365893 366978 438006 629387 672793 731786 803011 1097679 1258774 1345586 1606022 1773727 1888161 2018379 2117029 2195358 2263031 2409033 3547454 3776322 4036758 4234058 4526062 4818066 5321181 6351087 6789093 10642362 12702174 13578186 19510997 23287319 24893341 39021994 46574638 49786682 58532991 65627899 69861957 74680023 117065982 131255798 139723914 149360046 196883697 393767394 721906889 1443813778 2165720667 4331441334