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4204421334 = 23217291014691
BaseRepresentation
bin1111101010011010…
…0110000011010110
3101212000100201210200
43322212212003112
532102312440314
61533111201330
7206121664101
oct37246460326
911760321720
104204421334
111868316a83
12994076246
13520096299
142bc567738
151991a4709
hexfa9a60d6

4204421334 has 96 divisors (see below), whose sum is σ = 10078979040. Its totient is φ = 1260672000.

The previous prime is 4204421323. The next prime is 4204421341. The reversal of 4204421334 is 4331244024.

It is a happy number.

4204421334 is a `hidden beast` number, since 4 + 204 + 421 + 3 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4204421298 and 4204421307.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 893929 + ... + 898619.

It is an arithmetic number, because the mean of its divisors is an integer number (104989365).

Almost surely, 24204421334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204421334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039489520).

4204421334 is an abundant number, since it is smaller than the sum of its proper divisors (5874557706).

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

4204421334 is a wasteful number, since it uses less digits than its factorization.

4204421334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4204421334 is about 64841.5093439380. The cubic root of 4204421334 is about 1613.9945988220.

Adding to 4204421334 its reverse (4331244024), we get a palindrome (8535665358).

The spelling of 4204421334 in words is "four billion, two hundred four million, four hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 101 102 153 174 202 261 303 306 493 522 606 909 986 1479 1717 1818 2929 2958 3434 4437 4691 5151 5858 8787 8874 9382 10302 14073 15453 17574 26361 28146 30906 42219 49793 52722 79747 84438 99586 136039 149379 159494 239241 272078 298758 408117 448137 473791 478482 717723 816234 896274 947582 1224351 1421373 1435446 2312663 2448702 2842746 4264119 4625326 6937989 8054447 8528238 13739939 13875978 16108894 20813967 24163341 27479878 41219817 41627934 48326682 72490023 82439634 123659451 144980046 233578963 247318902 467157926 700736889 1401473778 2102210667 4204421334