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21343168 = 267116171
BaseRepresentation
bin101000101101…
…0101111000000
31111011100022201
41101122233000
520430440133
62041242544
7346261660
oct121325700
944140281
1021343168
1111058490
127193454
1345638c2
142b981a0
151d18d7d
hex145abc0

21343168 has 112 divisors (see below), whose sum is σ = 54425088. Its totient is φ = 8064000.

The previous prime is 21343163. The next prime is 21343187. The reversal of 21343168 is 86134312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21343163) 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, 300573 + ... + 300643.

Almost surely, 221343168 is an apocalyptic number.

21343168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27212544).

21343168 is an abundant number, since it is smaller than the sum of its proper divisors (33081920).

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

21343168 is a wasteful number, since it uses less digits than its factorization.

21343168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 21343168 is about 4619.8666647426. The cubic root of 21343168 is about 277.3871217992.

The spelling of 21343168 in words is "twenty-one million, three hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 71 77 88 112 122 142 154 176 224 244 284 308 352 427 448 488 497 568 616 671 704 781 854 976 994 1136 1232 1342 1562 1708 1952 1988 2272 2464 2684 3124 3416 3904 3976 4331 4544 4697 4928 5368 5467 6248 6832 7952 8662 9394 10736 10934 12496 13664 15904 17324 18788 21472 21868 24992 27328 30317 31808 34648 37576 42944 43736 47641 49984 60634 69296 75152 87472 95282 121268 138592 150304 174944 190564 242536 277184 300608 333487 349888 381128 485072 666974 762256 970144 1333948 1524512 1940288 2667896 3049024 5335792 10671584 21343168