Search a number
-
+
243340576 = 2531241193
BaseRepresentation
bin11101000000100…
…01010100100000
3121221212222111221
432200101110200
5444243344301
640051344424
76013234513
oct1640212440
9557788457
10243340576
111153a5416
12695b2114
133b55050b
1424464d7a
151656ada1
hexe811520

243340576 has 72 divisors (see below), whose sum is σ = 509730732. Its totient is φ = 114278400.

The previous prime is 243340553. The next prime is 243340597. The reversal of 243340576 is 675043342.

It can be written as a sum of positive squares in 2 ways, for example, as 203347600 + 39992976 = 14260^2 + 6324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260736 + ... + 1260928.

Almost surely, 2243340576 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 243340576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254865366).

243340576 is an abundant number, since it is smaller than the sum of its proper divisors (266390156).

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

243340576 is a wasteful number, since it uses less digits than its factorization.

243340576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 243340576 is about 15599.3774234743. The cubic root of 243340576 is about 624.3165444140.

The spelling of 243340576 in words is "two hundred forty-three million, three hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 193 248 328 386 496 656 772 961 992 1271 1312 1544 1922 2542 3088 3844 5084 5983 6176 7688 7913 10168 11966 15376 15826 20336 23932 30752 31652 39401 40672 47864 63304 78802 95728 126608 157604 185473 191456 245303 253216 315208 370946 490606 630416 741892 981212 1260832 1483784 1962424 2967568 3924848 5935136 7604393 7849696 15208786 30417572 60835144 121670288 243340576