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1104089328 = 243241434349
BaseRepresentation
bin100000111001111…
…0001000011110000
32211221112112211100
41001303301003300
54230121324303
6301320244400
736234414216
oct10163610360
92757475740
101104089328
11517258721
12269910700
131479830c4
14a68c4cb6
1566de28a3
hex41cf10f0

1104089328 has 120 divisors (see below), whose sum is σ = 3239636400. Its totient is φ = 350622720.

The previous prime is 1104089317. The next prime is 1104089333. The reversal of 1104089328 is 8239804011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1104089292 and 1104089301.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 251698 + ... + 256046.

It is an arithmetic number, because the mean of its divisors is an integer number (26996970).

Almost surely, 21104089328 is an apocalyptic number.

1104089328 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 1104089328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619818200).

1104089328 is an abundant number, since it is smaller than the sum of its proper divisors (2135547072).

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

1104089328 is a wasteful number, since it uses less digits than its factorization.

1104089328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1104089328 is about 33227.8396529176. The cubic root of 1104089328 is about 1033.5577250695.

The spelling of 1104089328 in words is "one billion, one hundred four million, eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 43 48 72 82 86 123 129 144 164 172 246 258 328 344 369 387 492 516 656 688 738 774 984 1032 1476 1548 1763 1968 2064 2952 3096 3526 4349 5289 5904 6192 7052 8698 10578 13047 14104 15867 17396 21156 26094 28208 31734 34792 39141 42312 52188 63468 69584 78282 84624 104376 126936 156564 178309 187007 208752 253872 313128 356618 374014 534927 561021 626256 713236 748028 1069854 1122042 1426472 1496056 1604781 1683063 2139708 2244084 2852944 2992112 3209562 3366126 4279416 4488168 6419124 6732252 7667287 8558832 8976336 12838248 13464504 15334574 23001861 25676496 26929008 30669148 46003722 61338296 69005583 92007444 122676592 138011166 184014888 276022332 368029776 552044664 1104089328