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243292842 = 233131133067
BaseRepresentation
bin11101000000001…
…01101010101010
3121221210120001000
432200011222222
5444240332332
640050335430
76012645402
oct1640055252
9557716030
10243292842
11115372571
126958a576
133b534880
1424451802
151655bb7c
hexe805aaa

243292842 has 64 divisors (see below), whose sum is σ = 587583360. Its totient is φ = 74172672.

The previous prime is 243292817. The next prime is 243292849. The reversal of 243292842 is 248292342.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 243292797 and 243292806.

It is not an unprimeable number, because it can be changed into a prime (243292849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77793 + ... + 80859.

It is an arithmetic number, because the mean of its divisors is an integer number (9180990).

Almost surely, 2243292842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243292842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293791680).

243292842 is an abundant number, since it is smaller than the sum of its proper divisors (344290518).

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

243292842 is a wasteful number, since it uses less digits than its factorization.

243292842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3198 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 243292842 is about 15597.8473514777. The cubic root of 243292842 is about 624.2757194993.

The spelling of 243292842 in words is "two hundred forty-three million, two hundred ninety-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 113 117 226 234 339 351 678 702 1017 1469 2034 2938 3051 3067 4407 6102 6134 8814 9201 13221 18402 26442 27603 39663 39871 55206 79326 79742 82809 119613 165618 239226 346571 358839 693142 717678 1039713 1076517 2079426 2153034 3119139 4505423 6238278 9010846 9357417 13516269 18714834 27032538 40548807 81097614 121646421 243292842