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1034411112 = 233273595717
BaseRepresentation
bin111101101001111…
…101110001101000
32200002102112021200
4331221331301220
54104302123422
6250351004200
734430230560
oct7551756150
92602375250
101034411112
11490997419
1224a509660
131363c7ba7
149b547da0
1560c2c2ac
hex3da7dc68

1034411112 has 96 divisors (see below), whose sum is σ = 3211228800. Its totient is φ = 294671232.

The previous prime is 1034411111. The next prime is 1034411117. The reversal of 1034411112 is 2111144301.

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

It is not an unprimeable number, because it can be changed into a prime (1034411111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178078 + ... + 183794.

It is an arithmetic number, because the mean of its divisors is an integer number (33450300).

Almost surely, 21034411112 is an apocalyptic number.

1034411112 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 1034411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605614400).

1034411112 is an abundant number, since it is smaller than the sum of its proper divisors (2176817688).

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

1034411112 is a wasteful number, since it uses less digits than its factorization.

1034411112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1034411112 is about 32162.2622338666. The cubic root of 1034411112 is about 1011.3412602296.

Adding to 1034411112 its reverse (2111144301), we get a palindrome (3145555413).

The spelling of 1034411112 in words is "one billion, thirty-four million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 359 504 718 1077 1436 2154 2513 2872 3231 4308 5026 5717 6462 7539 8616 10052 11434 12924 15078 17151 20104 22617 22868 25848 30156 34302 40019 45234 45736 51453 60312 68604 80038 90468 102906 120057 137208 160076 180936 205812 240114 320152 360171 411624 480228 720342 960456 1440684 2052403 2881368 4104806 6157209 8209612 12314418 14366821 16419224 18471627 24628836 28733642 36943254 43100463 49257672 57467284 73886508 86200926 114934568 129301389 147773016 172401852 258602778 344803704 517205556 1034411112