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243606096 = 2433607929
BaseRepresentation
bin11101000010100…
…10001001010000
3121222101110202000
432201102021100
5444330343341
640101154000
76015421566
oct1641221120
9558343660
10243606096
11115566958
12696bb900
133b614326
14244d3a36
15165be8b6
hexe852250

243606096 has 80 divisors (see below), whose sum is σ = 701145600. Its totient is φ = 80980992.

The previous prime is 243606089. The next prime is 243606101. The reversal of 243606096 is 690606342.

243606096 is a `hidden beast` number, since 2 + 43 + 6 + 0 + 609 + 6 = 666.

243606096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2436060962 = 118687860016722432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 243606096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261760 + ... + 262688.

It is an arithmetic number, because the mean of its divisors is an integer number (8764320).

Almost surely, 2243606096 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 243606096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350572800).

243606096 is an abundant number, since it is smaller than the sum of its proper divisors (457539504).

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

243606096 is a wasteful number, since it uses less digits than its factorization.

243606096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 243606096 is about 15607.8856992227. The cubic root of 243606096 is about 624.5435352918.

The spelling of 243606096 in words is "two hundred forty-three million, six hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 607 929 1214 1821 1858 2428 2787 3642 3716 4856 5463 5574 7284 7432 8361 9712 10926 11148 14568 14864 16389 16722 21852 22296 25083 29136 32778 33444 43704 44592 50166 65556 66888 87408 100332 131112 133776 200664 262224 401328 563903 1127806 1691709 2255612 3383418 4511224 5075127 6766836 9022448 10150254 13533672 15225381 20300508 27067344 30450762 40601016 60901524 81202032 121803048 243606096