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243412434 = 232311792437
BaseRepresentation
bin11101000001000…
…10110111010010
3121222000122002100
432200202313102
5444303144214
640053101230
76013654146
oct1640426722
9558018070
10243412434
11115444401
1269627816
133b577135
1424483226
1516582309
hexe822dd2

243412434 has 48 divisors (see below), whose sum is σ = 547672320. Its totient is φ = 78049440.

The previous prime is 243412423. The next prime is 243412447. The reversal of 243412434 is 434214342.

It is a happy number.

243412434 is a `hidden beast` number, since 243 + 412 + 4 + 3 + 4 = 666.

It is a super-2 number, since 2×2434124342 = 118499226051608712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243412398 and 243412407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98664 + ... + 101100.

It is an arithmetic number, because the mean of its divisors is an integer number (11409840).

Almost surely, 2243412434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243412434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273836160).

243412434 is an abundant number, since it is smaller than the sum of its proper divisors (304259886).

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

243412434 is a wasteful number, since it uses less digits than its factorization.

243412434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2652 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 243412434 is about 15601.6804864091. The cubic root of 243412434 is about 624.3779915207.

Adding to 243412434 its reverse (434214342), we get a palindrome (677626776).

The spelling of 243412434 in words is "two hundred forty-three million, four hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 179 186 279 358 537 558 1074 1611 2437 3222 4874 5549 7311 11098 14622 16647 21933 33294 43866 49941 75547 99882 151094 226641 436223 453282 679923 872446 1308669 1359846 2617338 3926007 7852014 13522913 27045826 40568739 81137478 121706217 243412434