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461340330 = 235112196689
BaseRepresentation
bin11011011111110…
…111111010101010
31012011002111221220
4123133313322222
51421100342310
6113440042510
714301220353
oct3337677252
91164074856
10461340330
11217461900
1210a603436
137476a659
14453b0d2a
152a77d670
hex1b7f7eaa

461340330 has 96 divisors (see below), whose sum is σ = 1281268800. Its totient is φ = 105937920.

The previous prime is 461340301. The next prime is 461340331. The reversal of 461340330 is 33043164.

It is a self number, because there is not a number n which added to its sum of digits gives 461340330.

It is not an unprimeable number, because it can be changed into a prime (461340331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65626 + ... + 72314.

It is an arithmetic number, because the mean of its divisors is an integer number (13346550).

Almost surely, 2461340330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461340330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640634400).

461340330 is an abundant number, since it is smaller than the sum of its proper divisors (819928470).

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

461340330 is a wasteful number, since it uses less digits than its factorization.

461340330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 461340330 is about 21478.8344655850. The cubic root of 461340330 is about 772.6932895740.

Adding to 461340330 its reverse (33043164), we get a palindrome (494383494).

The spelling of 461340330 in words is "four hundred sixty-one million, three hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 121 165 190 209 242 285 330 363 418 570 605 627 726 1045 1210 1254 1815 2090 2299 3135 3630 4598 6270 6689 6897 11495 13378 13794 20067 22990 33445 34485 40134 66890 68970 73579 100335 127091 147158 200670 220737 254182 367895 381273 441474 635455 735790 762546 809369 1103685 1270910 1398001 1618738 1906365 2207370 2428107 2796002 3812730 4046845 4194003 4856214 6990005 8093690 8388006 12140535 13980010 15378011 20970015 24281070 30756022 41940030 46134033 76890055 92268066 153780110 230670165 461340330