Search a number
-
+
243400504332 = 223317311379319
BaseRepresentation
bin1110001010101111001…
…1001111010000001100
3212021020222222201222210
43202223303033100030
512441441012114312
6303452221310420
723404456102416
oct3425363172014
9767228881883
10243400504332
119425326a4a7
123b20a405410
1319c4ca42c7b
14bad014b9b6
1564e8762e3c
hex38abccf40c

243400504332 has 96 divisors (see below), whose sum is σ = 599552593920. Its totient is φ = 76754442240.

The previous prime is 243400504313. The next prime is 243400504339. The reversal of 243400504332 is 233405004342.

243400504332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 243400504332.

It is not an unprimeable number, because it can be changed into a prime (243400504339) 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, 3028969 + ... + 3108287.

It is an arithmetic number, because the mean of its divisors is an integer number (6245339520).

Almost surely, 2243400504332 is an apocalyptic number.

It is an amenable number.

243400504332 is an abundant number, since it is smaller than the sum of its proper divisors (356152089588).

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

243400504332 is a wasteful number, since it uses less digits than its factorization.

243400504332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79543 (or 79541 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 243400504332 its reverse (233405004342), we get a palindrome (476805508674).

The spelling of 243400504332 in words is "two hundred forty-three billion, four hundred million, five hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 73 93 113 124 146 186 219 226 292 339 372 438 452 678 876 1356 2263 3503 4526 6789 7006 8249 9052 10509 13578 14012 16498 21018 24747 27156 32996 42036 49494 79319 98988 158638 237957 255719 317276 475914 511438 767157 951828 1022876 1534314 2458889 3068628 4917778 5790287 7376667 8963047 9835556 11580574 14753334 17370861 17926094 23161148 26889141 29506668 34741722 35852188 53778282 69483444 107556564 179498897 277854457 358997794 538496691 555708914 654302431 717995588 833563371 1076993382 1111417828 1308604862 1667126742 1962907293 2153986764 2617209724 3334253484 3925814586 7851629172 20283375361 40566750722 60850126083 81133501444 121700252166 243400504332