Search a number
-
+
234333034032 = 243231134634057
BaseRepresentation
bin1101101000111101010…
…1100101011000110000
3211101212001221112010110
43122033111211120300
512314403224042112
6255352350101320
722633663632066
oct3321725453060
9741761845113
10234333034032
119041a985899
12394b97aa840
13191362cb726
14b4adbb2036
1561676aa13c
hex368f565630

234333034032 has 160 divisors (see below), whose sum is σ = 638804256768. Its totient is φ = 73875529728.

The previous prime is 234333034031. The next prime is 234333034043. The reversal of 234333034032 is 230430333432.

It is a happy number.

234333034032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (234333034031) 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, 57758148 + ... + 57762204.

Almost surely, 2234333034032 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 234333034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319402128384).

234333034032 is an abundant number, since it is smaller than the sum of its proper divisors (404471222736).

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

234333034032 is a wasteful number, since it uses less digits than its factorization.

234333034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

Adding to 234333034032 its reverse (230430333432), we get a palindrome (464763367464).

The spelling of 234333034032 in words is "two hundred thirty-four billion, three hundred thirty-three million, thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 113 138 184 226 276 339 368 452 463 552 678 904 926 1104 1356 1389 1808 1852 2599 2712 2778 3704 4057 5198 5424 5556 7408 7797 8114 10396 10649 11112 12171 15594 16228 20792 21298 22224 24342 31188 31947 32456 41584 42596 48684 52319 62376 63894 64912 85192 93311 97368 104638 124752 127788 156957 170384 186622 194736 209276 255576 279933 313914 373244 418552 458441 511152 559866 627828 746488 837104 916882 1119732 1203337 1255656 1375323 1492976 1833764 1878391 2239464 2406674 2511312 2750646 3610011 3667528 3756782 4478928 4813348 5501292 5635173 7220022 7335056 7513564 9626696 10544143 11002584 11270346 14440044 15027128 19253392 21088286 22005168 22540692 28880088 30054256 31632429 42176572 43202993 45081384 57760176 63264858 84353144 86405986 90162768 126529716 129608979 168706288 172811972 212258183 253059432 259217958 345623944 424516366 506118864 518435916 636774549 691247888 849032732 1036871832 1273549098 1698065464 2073743664 2547098196 3396130928 4881938209 5094196392 9763876418 10188392784 14645814627 19527752836 29291629254 39055505672 58583258508 78111011344 117166517016 234333034032