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43104 = 253449
BaseRepresentation
bin1010100001100000
32012010110
422201200
52334404
6531320
7236445
oct124140
965113
1043104
112a426
1220b40
1316809
14119cc
15cb89
hexa860

43104 has 24 divisors (see below), whose sum is σ = 113400. Its totient is φ = 14336.

The previous prime is 43103. The next prime is 43117. The reversal of 43104 is 40134.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 43104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129 + ... + 320.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

243104 is an apocalyptic number.

It is an amenable number.

43104 is an abundant number, since it is smaller than the sum of its proper divisors (70296).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56700).

43104 is a wasteful number, since it uses less digits than its factorization.

43104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 43104 is about 207.6150283578. The cubic root of 43104 is about 35.0622023132.

43104 divided by its product of nonzero digits (48) gives a palindrome (898).

Adding to 43104 its reverse (40134), we get a palindrome (83238).

The spelling of 43104 in words is "forty-three thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 449 898 1347 1796 2694 3592 5388 7184 10776 14368 21552 43104