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104533344 = 25322343367
BaseRepresentation
bin1100011101100…
…00110101100000
321021200211210100
412032300311200
5203230031334
614212302400
72406342636
oct616606540
9237624710
10104533344
11540084a3
122b011a00
1318870066
14dc51356
15929cc99
hex63b0d60

104533344 has 144 divisors (see below), whose sum is σ = 318269952. Its totient is φ = 32465664.

The previous prime is 104533327. The next prime is 104533369. The reversal of 104533344 is 443335401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284649 + ... + 285015.

It is an arithmetic number, because the mean of its divisors is an integer number (2210208).

Almost surely, 2104533344 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 104533344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159134976).

104533344 is an abundant number, since it is smaller than the sum of its proper divisors (213736608).

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

104533344 is a wasteful number, since it uses less digits than its factorization.

104533344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 104533344 is about 10224.1549284036. The cubic root of 104533344 is about 471.0694584300.

Adding to 104533344 its reverse (443335401), we get a palindrome (547868745).

It can be divided in two parts, 10 and 4533344, that added together give a palindrome (4533354).

The spelling of 104533344 in words is "one hundred four million, five hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 48 69 72 86 92 96 129 138 144 172 184 207 258 276 288 344 367 368 387 414 516 552 688 734 736 774 828 989 1032 1101 1104 1376 1468 1548 1656 1978 2064 2202 2208 2936 2967 3096 3303 3312 3956 4128 4404 5872 5934 6192 6606 6624 7912 8441 8808 8901 11744 11868 12384 13212 15781 15824 16882 17616 17802 23736 25323 26424 31562 31648 33764 35232 35604 47343 47472 50646 52848 63124 67528 71208 75969 94686 94944 101292 105696 126248 135056 142029 142416 151938 189372 202584 252496 270112 284058 284832 303876 362963 378744 405168 504992 568116 607752 725926 757488 810336 1088889 1136232 1215504 1451852 1514976 2177778 2272464 2431008 2903704 3266667 4355556 4544928 5807408 6533334 8711112 11614816 13066668 17422224 26133336 34844448 52266672 104533344