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104809344 = 2732311867
BaseRepresentation
bin1100011111101…
…00001110000000
321022012212101120
412033310032000
5203312344334
614222232240
72411602413
oct617641600
9238185346
10104809344
11541868a2
122b125680
1318938883
14dcc3b7a
159304949
hex63f4380

104809344 has 64 divisors (see below), whose sum is σ = 290528640. Its totient is φ = 33414656.

The previous prime is 104809297. The next prime is 104809363. The reversal of 104809344 is 443908401.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2899 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (4539510).

Almost surely, 2104809344 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 104809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145264320).

104809344 is an abundant number, since it is smaller than the sum of its proper divisors (185719296).

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

104809344 is a wasteful number, since it uses less digits than its factorization.

104809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11907 (or 11895 counting only the distinct ones).

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

The square root of 104809344 is about 10237.6434788480. The cubic root of 104809344 is about 471.4836832329.

The spelling of 104809344 in words is "one hundred four million, eight hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 11867 23734 35601 47468 71202 94936 142404 189872 272941 284808 379744 545882 569616 759488 818823 1091764 1139232 1518976 1637646 2183528 2278464 3275292 4367056 4556928 6550584 8734112 13101168 17468224 26202336 34936448 52404672 104809344