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3322112 = 2819683
BaseRepresentation
bin1100101011000100000000
320020210002012
430223010000
51322301422
6155112052
740144313
oct14530400
96223065
103322112
111969a52
121142628
138c4161
1462697a
154594e2
hex32b100

3322112 has 36 divisors (see below), whose sum is σ = 6990480. Its totient is φ = 1571328.

The previous prime is 3322091. The next prime is 3322117. The reversal of 3322112 is 2112233.

It is a happy number.

It is a super-2 number, since 2×33221122 = 22072856281088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3322117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4523 + ... + 5205.

It is an arithmetic number, because the mean of its divisors is an integer number (194180).

Almost surely, 23322112 is an apocalyptic number.

3322112 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 3322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495240).

3322112 is an abundant number, since it is smaller than the sum of its proper divisors (3668368).

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

3322112 is an equidigital number, since it uses as much as digits as its factorization.

3322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 3322112 is about 1822.6661789807. Note that the first 3 decimals coincide. The cubic root of 3322112 is about 149.2123453141.

Adding to 3322112 its reverse (2112233), we get a palindrome (5434345).

It can be divided in two parts, 33221 and 12, that added together give a palindrome (33233).

The spelling of 3322112 in words is "three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 683 1216 1366 2432 2732 4864 5464 10928 12977 21856 25954 43712 51908 87424 103816 174848 207632 415264 830528 1661056 3322112