Search a number
-
+
4034340222 = 2311414731721
BaseRepresentation
bin1111000001110111…
…0010010101111110
3101102011022201101020
43300131302111332
531230242341342
61504153525010
7201655216563
oct36035622576
911364281336
104034340222
111790309580
12947113766
134c3a86083
142a3b3286a
151892aa0ec
hexf077257e

4034340222 has 64 divisors (see below), whose sum is σ = 9209023488. Its totient is φ = 1167296000.

The previous prime is 4034340197. The next prime is 4034340229. The reversal of 4034340222 is 2220434304.

It is a junction number, because it is equal to n+sod(n) for n = 4034340192 and 4034340201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034340229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111322 + ... + 143042.

It is an arithmetic number, because the mean of its divisors is an integer number (143890992).

Almost surely, 24034340222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034340222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604511744).

4034340222 is an abundant number, since it is smaller than the sum of its proper divisors (5174683266).

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

4034340222 is a wasteful number, since it uses less digits than its factorization.

4034340222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31825.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4034340222 is about 63516.4563085820. The cubic root of 4034340222 is about 1591.9307560495.

Adding to 4034340222 its reverse (2220434304), we get a palindrome (6254774526).

The spelling of 4034340222 in words is "four billion, thirty-four million, three hundred forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 47 66 82 94 123 141 246 282 451 517 902 1034 1353 1551 1927 2706 3102 3854 5781 11562 21197 31721 42394 63442 63591 95163 127182 190326 348931 697862 1046793 1300561 1490887 2093586 2601122 2981774 3901683 4472661 7803366 8945322 14306171 16399757 28612342 32799514 42918513 49199271 61126367 85837026 98398542 122252734 183379101 366758202 672390037 1344780074 2017170111 4034340222