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872343168 = 27317133631
BaseRepresentation
bin110011111111101…
…110011010000000
32020210110121212020
4303333232122000
53241304440133
6222321201440
730421536354
oct6377563200
92223417766
10872343168
11408462374
12204190280
1310b9620b8
1483bdb464
15518b70b3
hex33fee680

872343168 has 64 divisors (see below), whose sum is σ = 2453483520. Its totient is φ = 273674240.

The previous prime is 872343139. The next prime is 872343169. The reversal of 872343168 is 861343278.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (872343169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60288 + ... + 73343.

It is an arithmetic number, because the mean of its divisors is an integer number (38335680).

Almost surely, 2872343168 is an apocalyptic number.

It is an amenable number.

872343168 is an abundant number, since it is smaller than the sum of its proper divisors (1581140352).

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

872343168 is a wasteful number, since it uses less digits than its factorization.

872343168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133665 (or 133653 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 872343168 is about 29535.4561163358. The cubic root of 872343168 is about 955.4965457781.

The spelling of 872343168 in words is "eight hundred seventy-two million, three hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 133631 267262 400893 534524 801786 1069048 1603572 2138096 2271727 3207144 4276192 4543454 6414288 6815181 8552384 9086908 12828576 13630362 17104768 18173816 25657152 27260724 36347632 51314304 54521448 72695264 109042896 145390528 218085792 290781056 436171584 872343168