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3326112 = 253211549
BaseRepresentation
bin1100101100000010100000
320020222120100
430230002200
51322413422
6155142400
740162056
oct14540240
96228510
103326112
111971a59
121144a00
138c5c1a
146281d6
1545a7ac
hex32c0a0

3326112 has 36 divisors (see below), whose sum is σ = 9459450. Its totient is φ = 1108608.

The previous prime is 3326111. The next prime is 3326117. The reversal of 3326112 is 2116233.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 1354896 = 1404^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33261122 = 22126042073088, which contains 22 as substring.

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.

It is not an unprimeable number, because it can be changed into a prime (3326111) 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 5 ways as a sum of consecutive naturals, for example, 5487 + ... + 6062.

Almost surely, 23326112 is an apocalyptic number.

3326112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3326112 is an abundant number, since it is smaller than the sum of its proper divisors (6133338).

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

3326112 is a wasteful number, since it uses less digits than its factorization.

3326112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565 (or 11554 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 3326112 is about 1823.7631425160. The cubic root of 3326112 is about 149.2722078348.

The spelling of 3326112 in words is "three million, three hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11549 23098 34647 46196 69294 92392 103941 138588 184784 207882 277176 369568 415764 554352 831528 1108704 1663056 3326112