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3440112 = 2431337149
BaseRepresentation
bin1101000111110111110000
320110202221120
431013313300
51340040422
6201422240
741145324
oct15076760
96422846
103440112
111a3a675
12119a980
13935a90
14657984
1547e45c
hex347df0

3440112 has 80 divisors (see below), whose sum is σ = 9895200. Its totient is φ = 1022976.

The previous prime is 3440089. The next prime is 3440119. The reversal of 3440112 is 2110443.

It is a junction number, because it is equal to n+sod(n) for n = 3440091 and 3440100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440119) 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 15 ways as a sum of consecutive naturals, for example, 23014 + ... + 23162.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 23440112 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 3440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947600).

3440112 is an abundant number, since it is smaller than the sum of its proper divisors (6455088).

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

3440112 is a wasteful number, since it uses less digits than its factorization.

3440112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3440112 is about 1854.7538920299. The cubic root of 3440112 is about 150.9584845593.

Adding to 3440112 its reverse (2110443), we get a palindrome (5550555).

The spelling of 3440112 in words is "three million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 149 156 208 222 296 298 312 444 447 481 592 596 624 888 894 962 1192 1443 1776 1788 1924 1937 2384 2886 3576 3848 3874 5513 5772 5811 7152 7696 7748 11026 11544 11622 15496 16539 22052 23088 23244 30992 33078 44104 46488 66156 71669 88208 92976 132312 143338 215007 264624 286676 430014 573352 860028 1146704 1720056 3440112