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4134230340 = 2235175097963
BaseRepresentation
bin1111011001101011…
…0101100101000100
3101200010021122212020
43312122311211010
531431330332330
61522122523140
7204310243452
oct36632654504
911603248766
104134230340
111831735499
129746664b0
1350b68b856
142b30d59d2
15192e3c210
hexf66b5944

4134230340 has 96 divisors (see below), whose sum is σ = 12282399360. Its totient is φ = 1035442176.

The previous prime is 4134230333. The next prime is 4134230351. The reversal of 4134230340 is 430324314.

It is a self number, because there is not a number n which added to its sum of digits gives 4134230340.

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 31 ways as a sum of consecutive naturals, for example, 515199 + ... + 523161.

It is an arithmetic number, because the mean of its divisors is an integer number (127941660).

Almost surely, 24134230340 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 4134230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141199680).

4134230340 is an abundant number, since it is smaller than the sum of its proper divisors (8148169020).

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

4134230340 is a wasteful number, since it uses less digits than its factorization.

4134230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501 (or 8499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4134230340 is about 64297.9808392145. The cubic root of 4134230340 is about 1604.9625014288.

Adding to 4134230340 its reverse (430324314), we get a palindrome (4564554654).

The spelling of 4134230340 in words is "four billion, one hundred thirty-four million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 509 510 1018 1020 1527 2036 2545 3054 5090 6108 7635 7963 8653 10180 15270 15926 17306 23889 25959 30540 31852 34612 39815 43265 47778 51918 79630 86530 95556 103836 119445 129795 135371 159260 173060 238890 259590 270742 406113 477780 519180 541484 676855 812226 1353710 1624452 2030565 2707420 4053167 4061130 8106334 8122260 12159501 16212668 20265835 24319002 40531670 48638004 60797505 68903839 81063340 121595010 137807678 206711517 243190020 275615356 344519195 413423034 689038390 826846068 1033557585 1378076780 2067115170 4134230340