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84091344 = 2433121823
BaseRepresentation
bin1010000001100…
…10000111010000
312212020021122020
411000302013100
5133011410334
612202211440
72040523161
oct500620720
9185207566
1084091344
1143516087
12241b3b80
13145636bc
14b24d768
1575b0e49
hex50321d0

84091344 has 60 divisors (see below), whose sum is σ = 224592768. Its totient is φ = 27111360.

The previous prime is 84091339. The next prime is 84091361. The reversal of 84091344 is 44319048.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45217 + ... + 47039.

Almost surely, 284091344 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 84091344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112296384).

84091344 is an abundant number, since it is smaller than the sum of its proper divisors (140501424).

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

84091344 is a wasteful number, since it uses less digits than its factorization.

84091344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 84091344 is about 9170.1332596642. The cubic root of 84091344 is about 438.1106036229.

The spelling of 84091344 in words is "eighty-four million, ninety-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1823 1922 2883 3646 3844 5469 5766 7292 7688 10938 11532 14584 15376 21876 23064 29168 43752 46128 56513 87504 113026 169539 226052 339078 452104 678156 904208 1356312 1751903 2712624 3503806 5255709 7007612 10511418 14015224 21022836 28030448 42045672 84091344