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104432328 = 233472111323
BaseRepresentation
bin1100011100110…
…00001011001000
321021111201020000
412032120023020
5203213313303
614210203000
72405442300
oct616301310
9237451200
10104432328
1153a49610
122ab83460
13188360a0
14dc26600
15927cda3
hex63982c8

104432328 has 480 divisors, whose sum is σ = 417130560. Its totient is φ = 23950080.

The previous prime is 104432327. The next prime is 104432347. The reversal of 104432328 is 823234401.

It is a super-2 number, since 2×1044323282 = 21812222262999168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104432327) 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 119 ways as a sum of consecutive naturals, for example, 4540525 + ... + 4540547.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 2104432328 is an apocalyptic number.

104432328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104432328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

104432328 is an abundant number, since it is smaller than the sum of its proper divisors (312698232).

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

104432328 is a wasteful number, since it uses less digits than its factorization.

104432328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104432328 is about 10219.2136683798. The cubic root of 104432328 is about 470.9176698971.

Adding to 104432328 its reverse (823234401), we get a palindrome (927666729).

The spelling of 104432328 in words is "one hundred four million, four hundred thirty-two thousand, three hundred twenty-eight".