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441328104 = 233272125093
BaseRepresentation
bin11010010011100…
…010000111101000
31010202102210100100
4122103202013220
51400434444404
6111443105400
713636140600
oct3223420750
91122383310
10441328104
11207133378
12103972260
13705817b9
1442881c00
1528b28d39
hex1a4e21e8

441328104 has 72 divisors (see below), whose sum is σ = 1390419810. Its totient is φ = 126092736.

The previous prime is 441328103. The next prime is 441328171. The reversal of 441328104 is 401823144.

It can be written as a sum of positive squares in only one way, i.e., 248062500 + 193265604 = 15750^2 + 13902^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (441328103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59019 + ... + 66074.

Almost surely, 2441328104 is an apocalyptic number.

It is an amenable number.

441328104 is an abundant number, since it is smaller than the sum of its proper divisors (949091706).

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

441328104 is a wasteful number, since it uses less digits than its factorization.

441328104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125119 (or 125105 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441328104 is about 21007.8105475083. The cubic root of 441328104 is about 761.3549835393.

The spelling of 441328104 in words is "four hundred forty-one million, three hundred twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 125093 250186 375279 500372 750558 875651 1000744 1125837 1501116 1751302 2251674 2626953 3002232 3502604 4503348 5253906 6129557 7005208 7880859 9006696 10507812 12259114 15761718 18388671 21015624 24518228 31523436 36777342 49036456 55166013 63046872 73554684 110332026 147109368 220664052 441328104