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243424368 = 243211239643
BaseRepresentation
bin11101000001001…
…01110001110000
3121222001020110100
432200211301300
5444304034433
640053232400
76014034015
oct1640456160
9558036410
10243424368
11115452370
1269632700
133b57c6b5
142448770c
1516585b13
hexe825c70

243424368 has 120 divisors (see below), whose sum is σ = 747452160. Its totient is φ = 73342080.

The previous prime is 243424361. The next prime is 243424381. The reversal of 243424368 is 863424342.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243424361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378255 + ... + 378897.

It is an arithmetic number, because the mean of its divisors is an integer number (6228768).

Almost surely, 2243424368 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 243424368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373726080).

243424368 is an abundant number, since it is smaller than the sum of its proper divisors (504027792).

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

243424368 is a wasteful number, since it uses less digits than its factorization.

243424368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 898 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 243424368 is about 15602.0629405217. The cubic root of 243424368 is about 624.3881953342.

The spelling of 243424368 in words is "two hundred forty-three million, four hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 239 264 396 478 528 643 717 792 956 1286 1434 1584 1912 1929 2151 2572 2629 2868 3824 3858 4302 5144 5258 5736 5787 7073 7716 7887 8604 10288 10516 11472 11574 14146 15432 15774 17208 21032 21219 23148 23661 28292 30864 31548 34416 42064 42438 46296 47322 56584 63096 63657 84876 92592 94644 113168 126192 127314 153677 169752 189288 254628 307354 339504 378576 461031 509256 614708 922062 1018512 1229416 1383093 1690447 1844124 2458832 2766186 3380894 3688248 5071341 5532372 6761788 7376496 10142682 11064744 13523576 15214023 20285364 22129488 27047152 30428046 40570728 60856092 81141456 121712184 243424368