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3416112 = 243273389
BaseRepresentation
bin1101000010000000110000
320102120000200
431002000300
51333303422
6201115200
741015340
oct15020060
96376020
103416112
111a23637
121188b00
13927b8b
1464cd20
154772ac
hex342030

3416112 has 60 divisors (see below), whose sum is σ = 10929360. Its totient is φ = 975744.

The previous prime is 3416111. The next prime is 3416141. The reversal of 3416112 is 2116143.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (3416111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (182156).

Almost surely, 23416112 is an apocalyptic number.

It is an amenable number.

3416112 is an abundant number, since it is smaller than the sum of its proper divisors (7513248).

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

3416112 is a wasteful number, since it uses less digits than its factorization.

3416112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3401 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3416112 is about 1848.2727071512. The cubic root of 3416112 is about 150.6066101869.

The spelling of 3416112 in words is "three million, four hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3389 6778 10167 13556 20334 23723 27112 30501 40668 47446 54224 61002 71169 81336 94892 122004 142338 162672 189784 213507 244008 284676 379568 427014 488016 569352 854028 1138704 1708056 3416112