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1034110112 = 257219103337
BaseRepresentation
bin111101101000110…
…100010010100000
32200001212020101112
4331220310102200
54104213010422
6250340322452
734424535200
oct7550642240
92601766345
101034110112
11490801262
1224a3a3428
13136320b99
149b4aa400
1560bbcee2
hex3da344a0

1034110112 has 144 divisors (see below), whose sum is σ = 2524616640. Its totient is φ = 414554112.

The previous prime is 1034110081. The next prime is 1034110117. The reversal of 1034110112 is 2110114301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1034110117) 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 23 ways as a sum of consecutive naturals, for example, 3068408 + ... + 3068744.

It is an arithmetic number, because the mean of its divisors is an integer number (17532060).

Almost surely, 21034110112 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 1034110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262308320).

1034110112 is an abundant number, since it is smaller than the sum of its proper divisors (1490506528).

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

1034110112 is a wasteful number, since it uses less digits than its factorization.

1034110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1034110112 is about 32157.5824962014. The cubic root of 1034110112 is about 1011.2431550542.

Adding to 1034110112 its reverse (2110114301), we get a palindrome (3144224413).

The spelling of 1034110112 in words is "one billion, thirty-four million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 103 112 133 152 196 206 224 266 304 337 392 412 532 608 674 721 784 824 931 1064 1348 1442 1568 1648 1862 1957 2128 2359 2696 2884 3296 3724 3914 4256 4718 5047 5392 5768 6403 7448 7828 9436 10094 10784 11536 12806 13699 14896 15656 16513 18872 20188 23072 25612 27398 29792 31312 33026 34711 37744 40376 44821 51224 54796 62624 66052 69422 75488 80752 89642 95893 102448 109592 132104 138844 161504 179284 191786 204896 219184 242977 264208 277688 313747 358568 383572 438368 485954 528416 555376 627494 659509 717136 767144 971908 1110752 1254988 1319018 1434272 1534288 1700839 1943816 2509976 2638036 3068576 3401678 3887632 4616563 5019952 5276072 6803356 7775264 9233126 10039904 10552144 13606712 18466252 21104288 27213424 32315941 36932504 54426848 64631882 73865008 129263764 147730016 258527528 517055056 1034110112