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20340288 = 263379149
BaseRepresentation
bin100110110010…
…1111001000000
31102021101122000
41031211321000
520201342123
62003544000
7334614063
oct115457100
942241560
1020340288
1110532a61
12698b000
1342a2297
1429b68da
151bbbb43
hex1365e40

20340288 has 112 divisors (see below), whose sum is σ = 60960000. Its totient is φ = 6649344.

The previous prime is 20340283. The next prime is 20340301. The reversal of 20340288 is 88204302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20340283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136438 + ... + 136586.

Almost surely, 220340288 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 20340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30480000).

20340288 is an abundant number, since it is smaller than the sum of its proper divisors (40619712).

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

20340288 is a wasteful number, since it uses less digits than its factorization.

20340288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20340288 is about 4510.0208425239. The cubic root of 20340288 is about 272.9725850988.

The spelling of 20340288 in words is "twenty million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 149 158 192 216 237 288 298 316 432 447 474 576 596 632 711 864 894 948 1192 1264 1341 1422 1728 1788 1896 2133 2384 2528 2682 2844 3576 3792 4023 4266 4768 5056 5364 5688 7152 7584 8046 8532 9536 10728 11376 11771 14304 15168 16092 17064 21456 22752 23542 28608 32184 34128 35313 42912 45504 47084 64368 68256 70626 85824 94168 105939 128736 136512 141252 188336 211878 257472 282504 317817 376672 423756 565008 635634 753344 847512 1130016 1271268 1695024 2260032 2542536 3390048 5085072 6780096 10170144 20340288