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1044112032 = 2534795099
BaseRepresentation
bin111110001110111…
…110001010100000
32200202200101110000
4332032332022200
54114243041112
6251334540000
734605543255
oct7616761240
92622611400
101044112032
11496412907
12251807600
13138413592
149c95142c
15619e67dc
hex3e3be2a0

1044112032 has 120 divisors (see below), whose sum is σ = 3110184000. Its totient is φ = 343564416.

The previous prime is 1044112019. The next prime is 1044112033. The reversal of 1044112032 is 2302114401.

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 = 1044111996 and 1044112014.

It is not an unprimeable number, because it can be changed into a prime (1044112033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202219 + ... + 207317.

It is an arithmetic number, because the mean of its divisors is an integer number (25918200).

Almost surely, 21044112032 is an apocalyptic number.

1044112032 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 1044112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555092000).

1044112032 is an abundant number, since it is smaller than the sum of its proper divisors (2066071968).

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

1044112032 is an equidigital number, since it uses as much as digits as its factorization.

1044112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1044112032 is about 32312.7224479771. The cubic root of 1044112032 is about 1014.4929503305.

Adding to 1044112032 its reverse (2302114401), we get a palindrome (3346226433).

The spelling of 1044112032 in words is "one billion, forty-four million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2528 2592 2844 3792 4266 5099 5688 6399 7584 8532 10198 11376 12798 15297 17064 20396 22752 25596 30594 34128 40792 45891 51192 61188 68256 81584 91782 102384 122376 137673 163168 183564 204768 244752 275346 367128 402821 413019 489504 550692 734256 805642 826038 1101384 1208463 1468512 1611284 1652076 2202768 2416926 3222568 3304152 3625389 4405536 4833852 6445136 6608304 7250778 9667704 10876167 12890272 13216608 14501556 19335408 21752334 29003112 32628501 38670816 43504668 58006224 65257002 87009336 116012448 130514004 174018672 261028008 348037344 522056016 1044112032