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242304433332 = 223137561205427
BaseRepresentation
bin1110000110101001111…
…0000011110010110100
3212011102121112120020120
43201222132003302310
512432214413331312
6303151344531540
723335346462223
oct3415236036264
9764377476216
10242304433332
11938405990a5
123ab63320bb0
1319b06939750
14ba28752cba
15648240628c
hex386a783cb4

242304433332 has 48 divisors (see below), whose sum is σ = 608951042112. Its totient is φ = 74544986880.

The previous prime is 242304433321. The next prime is 242304433339. The reversal of 242304433332 is 233334403242.

242304433332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2423044333322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242304433293 and 242304433302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242304433339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076803 + ... + 1282229.

It is an arithmetic number, because the mean of its divisors is an integer number (12686480044).

Almost surely, 2242304433332 is an apocalyptic number.

It is an amenable number.

242304433332 is an abundant number, since it is smaller than the sum of its proper divisors (366646608780).

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

242304433332 is a wasteful number, since it uses less digits than its factorization.

242304433332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213008 (or 213006 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 242304433332 its reverse (233334403242), we get a palindrome (475638836574).

The spelling of 242304433332 in words is "two hundred forty-two billion, three hundred four million, four hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 7561 15122 22683 30244 45366 90732 98293 196586 205427 294879 393172 410854 589758 616281 821708 1179516 1232562 2465124 2670551 5341102 8011653 10682204 16023306 32046612 1553233547 3106467094 4659700641 6212934188 9319401282 18638802564 20192036111 40384072222 60576108333 80768144444 121152216666 242304433332