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104322432 = 2731072539
BaseRepresentation
bin1100011011111…
…01010110000000
321021022010110210
412031331112000
5203201304212
614203554120
72404504014
oct615752600
9237263423
10104322432
1153983a95
122ab2b940
13187c8066
14dbd8544
15925a53c
hex637d580

104322432 has 64 divisors (see below), whose sum is σ = 279806400. Its totient is φ = 34435584.

The previous prime is 104322431. The next prime is 104322473. The reversal of 104322432 is 234223401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104322399 and 104322408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104322431) 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 7 ways as a sum of consecutive naturals, for example, 39819 + ... + 42357.

It is an arithmetic number, because the mean of its divisors is an integer number (4371975).

Almost surely, 2104322432 is an apocalyptic number.

104322432 is a gapful number since it is divisible by the number (12) 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 104322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139903200).

104322432 is an abundant number, since it is smaller than the sum of its proper divisors (175483968).

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

104322432 is a wasteful number, since it uses less digits than its factorization.

104322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 104322432 is about 10213.8353227375. The cubic root of 104322432 is about 470.7524269018.

Adding to 104322432 its reverse (234223401), we get a palindrome (338545833).

The spelling of 104322432 in words is "one hundred four million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2539 2568 3424 5078 5136 6848 7617 10156 10272 13696 15234 20312 20544 30468 40624 41088 60936 81248 121872 162496 243744 271673 324992 487488 543346 815019 974976 1086692 1630038 2173384 3260076 4346768 6520152 8693536 13040304 17387072 26080608 34774144 52161216 104322432