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20342322 = 232711131129
BaseRepresentation
bin100110110011…
…0011000110010
31102021111102100
41031212120302
520201423242
62004001230
7334623030
oct115463062
942244370
1020342322
1110534540
126990216
1342a31a0
1429b7550
151bbc54c
hex1366632

20342322 has 96 divisors (see below), whose sum is σ = 59230080. Its totient is φ = 4872960.

The previous prime is 20342317. The next prime is 20342347. The reversal of 20342322 is 22324302.

20342322 is a `hidden beast` number, since 2 + 0 + 342 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20342295 and 20342304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17454 + ... + 18582.

It is an arithmetic number, because the mean of its divisors is an integer number (616980).

Almost surely, 220342322 is an apocalyptic number.

20342322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20342322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29615040).

20342322 is an abundant number, since it is smaller than the sum of its proper divisors (38887758).

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

20342322 is a wasteful number, since it uses less digits than its factorization.

20342322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20342322 is about 4510.2463347361. The cubic root of 20342322 is about 272.9816837528.

Adding to 20342322 its reverse (22324302), we get a palindrome (42666624).

It can be divided in two parts, 2034 and 2322, that added together give a square (4356 = 662).

The spelling of 20342322 in words is "twenty million, three hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1129 1287 1386 1638 2002 2258 2574 3003 3387 6006 6774 7903 9009 10161 12419 14677 15806 18018 20322 23709 24838 29354 37257 44031 47418 71127 74514 86933 88062 102739 111771 132093 142254 161447 173866 205478 223542 260799 264186 308217 322894 484341 521598 616434 782397 924651 968682 1130129 1453023 1564794 1849302 2260258 2906046 3390387 6780774 10171161 20342322