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243968445 = 325717291571
BaseRepresentation
bin11101000101010…
…10100110111101
3122000001212210100
432202222212331
5444423442240
640113031313
76021461160
oct1642524675
9560055710
10243968445
11115794116
1269855539
133b710236
1424589ad7
1516641e30
hexe8aa9bd

243968445 has 96 divisors (see below), whose sum is σ = 529701120. Its totient is φ = 101283840.

The previous prime is 243968441. The next prime is 243968447. The reversal of 243968445 is 544869342.

It is not a de Polignac number, because 243968445 - 22 = 243968441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 243968445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243968441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154510 + ... + 156080.

It is an arithmetic number, because the mean of its divisors is an integer number (5517720).

Almost surely, 2243968445 is an apocalyptic number.

It is an amenable number.

243968445 is an abundant number, since it is smaller than the sum of its proper divisors (285732675).

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

243968445 is a wasteful number, since it uses less digits than its factorization.

243968445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1632 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 243968445 is about 15619.4892682187. The cubic root of 243968445 is about 624.8530385131.

The spelling of 243968445 in words is "two hundred forty-three million, nine hundred sixty-eight thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 29 35 45 51 63 85 87 105 119 145 153 203 255 261 315 357 435 493 595 609 765 1015 1071 1305 1479 1571 1785 1827 2465 3045 3451 4437 4713 5355 7395 7855 9135 10353 10997 14139 17255 22185 23565 26707 31059 32991 45559 51765 54985 70695 80121 98973 133535 136677 155295 164955 186949 227795 240363 318913 400605 410031 494865 560847 683385 774503 934745 956739 1201815 1594565 1682541 2050155 2323509 2804235 2870217 3872515 4783695 5421521 6970527 8412705 11617545 14351085 16264563 27107605 34852635 48793689 81322815 243968445