Search a number
-
+
34204143444 = 223191076912029
BaseRepresentation
bin11111110110101110…
…011100111101010100
310021021202010111222120
4133312232130331110
51030022230042234
623414013255540
72320416264552
oct376656347524
9107252114876
1034204143444
1113562390249
126766a945b0
1332c1391a43
14192693cbd2
15d52c76049
hex7f6b9cf54

34204143444 has 96 divisors (see below), whose sum is σ = 84959884800. Its totient is φ = 10679610240.

The previous prime is 34204143427. The next prime is 34204143461. The reversal of 34204143444 is 44434140243.

It is an interprime number because it is at equal distance from previous prime (34204143427) and next prime (34204143461).

It is a super-2 number, since 2×342041434442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16856622 + ... + 16858650.

It is an arithmetic number, because the mean of its divisors is an integer number (884998800).

Almost surely, 234204143444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34204143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42479942400).

34204143444 is an abundant number, since it is smaller than the sum of its proper divisors (50755741356).

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

34204143444 is a wasteful number, since it uses less digits than its factorization.

34204143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 34204143444 its reverse (44434140243), we get a palindrome (78638283687).

The spelling of 34204143444 in words is "thirty-four billion, two hundred four million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 691 1284 1382 2029 2033 2073 2764 4058 4066 4146 6087 6099 8116 8132 8292 12174 12198 13129 24348 24396 26258 38551 39387 52516 73937 77102 78774 115653 147874 154204 157548 217103 221811 231306 295748 434206 443622 462612 651309 868412 887244 1302618 1402039 1404803 2605236 2804078 2809606 4124957 4206117 4214409 5608156 5619212 8249914 8412234 8428818 12374871 16499828 16824468 16857636 24749742 26638741 49499484 53277482 79916223 106554964 150018173 159832446 300036346 319664892 450054519 600072692 900109038 1800218076 2850345287 5700690574 8551035861 11401381148 17102071722 34204143444