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3542112 = 253272251
BaseRepresentation
bin1101100000110001100000
320122221212100
431200301200
51401321422
6203530400
742051600
oct15406140
96587770
103542112
111aaa272
121229a00
13970332
14682c00
1549e7ac
hex360c60

3542112 has 108 divisors (see below), whose sum is σ = 11764116. Its totient is φ = 1008000.

The previous prime is 3542101. The next prime is 3542117. The reversal of 3542112 is 2112453.

It is a super-3 number, since 3×35421123 (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13987 + ... + 14237.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 23542112 is an apocalyptic number.

3542112 is a gapful number since it is divisible by the number (32) 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 3542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058).

3542112 is an abundant number, since it is smaller than the sum of its proper divisors (8222004).

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

3542112 is a wasteful number, since it uses less digits than its factorization.

3542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 3542112 is about 1882.0499462023. The cubic root of 3542112 is about 152.4359598530.

Adding to 3542112 its reverse (2112453), we get a palindrome (5654565).

The spelling of 3542112 in words is "three million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 251 252 288 294 336 392 441 502 504 588 672 753 784 882 1004 1008 1176 1506 1568 1757 1764 2008 2016 2259 2352 3012 3514 3528 4016 4518 4704 5271 6024 7028 7056 8032 9036 10542 12048 12299 14056 14112 15813 18072 21084 24096 24598 28112 31626 36144 36897 42168 49196 56224 63252 72288 73794 84336 98392 110691 126504 147588 168672 196784 221382 253008 295176 393568 442764 506016 590352 885528 1180704 1771056 3542112