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3330112 = 2661853
BaseRepresentation
bin1100101101000001000000
320021012001111
430231001000
51323030422
6155213104
740206532
oct14550100
96235044
103330112
111974a65
121147194
138c79a6
14629852
1545ba77
hex32d040

3330112 has 28 divisors (see below), whose sum is σ = 6724396. Its totient is φ = 1635840.

The previous prime is 3330083. The next prime is 3330121. The reversal of 3330112 is 2110333.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 3182656 = 384^2 + 1784^2 .

It is a super-2 number, since 2×33301122 = 22179291865088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330092 and 3330101.

It is an unprimeable number.

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, 3478 + ... + 4330.

It is an arithmetic number, because the mean of its divisors is an integer number (240157).

Almost surely, 23330112 is an apocalyptic number.

3330112 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 3330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362198).

3330112 is an abundant number, since it is smaller than the sum of its proper divisors (3394284).

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

3330112 is an equidigital number, since it uses as much as digits as its factorization.

3330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3330112 is about 1824.8594466424. The cubic root of 3330112 is about 149.3320223808.

Adding to 3330112 its reverse (2110333), we get a palindrome (5440445).

The spelling of 3330112 in words is "three million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 853 976 1706 1952 3412 3904 6824 13648 27296 52033 54592 104066 208132 416264 832528 1665056 3330112