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3242112 = 2738443
BaseRepresentation
bin1100010111100010000000
320002201100020
430113202000
51312221422
6153253440
736362136
oct14274200
96081306
103242112
111914935
121104280
13896913
14605756
1544095c
hex317880

3242112 has 32 divisors (see below), whose sum is σ = 8612880. Its totient is φ = 1080576.

The previous prime is 3242111. The next prime is 3242137. The reversal of 3242112 is 2112423.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×32421122 = 21022580441088, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 3242091 and 3242100.

It is not an unprimeable number, because it can be changed into a prime (3242111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3838 + ... + 4605.

Almost surely, 23242112 is an apocalyptic number.

3242112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3242112 is an abundant number, since it is smaller than the sum of its proper divisors (5370768).

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

3242112 is an equidigital number, since it uses as much as digits as its factorization.

3242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8448 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 3242112 is about 1800.5865710929. The cubic root of 3242112 is about 148.0048695744.

Adding to 3242112 its reverse (2112423), we get a palindrome (5354535).

The spelling of 3242112 in words is "three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 8443 16886 25329 33772 50658 67544 101316 135088 202632 270176 405264 540352 810528 1080704 1621056 3242112