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84032368 = 2471634603
BaseRepresentation
bin1010000001000…
…11101101110000
312212010021201221
411000203231300
5133003013433
612201034424
72040156220
oct500435560
9185107657
1084032368
1143485842
1224185a14
13145428c4
14b236080
15759d72d
hex5023b70

84032368 has 40 divisors (see below), whose sum is σ = 187253888. Its totient is φ = 35785152.

The previous prime is 84032359. The next prime is 84032369. The reversal of 84032368 is 86323048.

It is a super-2 number, since 2×840323682 = 14122877743374848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84032369) 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 7 ways as a sum of consecutive naturals, for example, 15955 + ... + 20557.

Almost surely, 284032368 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 84032368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93626944).

84032368 is an abundant number, since it is smaller than the sum of its proper divisors (103221520).

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

84032368 is a wasteful number, since it uses less digits than its factorization.

84032368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 84032368 is about 9166.9170390050. The cubic root of 84032368 is about 438.0081592553.

The spelling of 84032368 in words is "eighty-four million, thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 652 1141 1304 2282 2608 4564 4603 9128 9206 18256 18412 32221 36824 64442 73648 128884 257768 515536 750289 1500578 3001156 5252023 6002312 10504046 12004624 21008092 42016184 84032368