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104004324 = 22342911069
BaseRepresentation
bin1100011001011…
…11101011100100
321020200222010000
412030233223210
5203111114244
614153101300
72402010414
oct614575344
9236628100
10104004324
1153786a96
122a9b7830
1318716328
14db54644
1591e6169
hex632fae4

104004324 has 60 divisors (see below), whose sum is σ = 281288700. Its totient is φ = 33469632.

The previous prime is 104004319. The next prime is 104004343. The reversal of 104004324 is 423400401.

It can be written as a sum of positive squares in 2 ways, for example, as 29354724 + 74649600 = 5418^2 + 8640^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104004297 and 104004306.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3862 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (4688145).

Almost surely, 2104004324 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 104004324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140644350).

104004324 is an abundant number, since it is smaller than the sum of its proper divisors (177284376).

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

104004324 is a wasteful number, since it uses less digits than its factorization.

104004324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104004324 is about 10198.2510265241. The cubic root of 104004324 is about 470.2734548713.

Adding to 104004324 its reverse (423400401), we get a palindrome (527404725).

The spelling of 104004324 in words is "one hundred four million, four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 11069 22138 33207 44276 66414 99621 132828 199242 298863 321001 398484 597726 642002 896589 963003 1195452 1284004 1793178 1926006 2889009 3586356 3852012 5778018 8667027 11556036 17334054 26001081 34668108 52002162 104004324