Search a number
-
+
3162112 = 214193
BaseRepresentation
bin1100000100000000000000
312221122121021
430010000000
51302141422
6151435224
735606662
oct14040000
95848537
103162112
11186a818
121085b14
13869395
145c4532
15426dc7
hex304000

3162112 has 30 divisors (see below), whose sum is σ = 6356798. Its totient is φ = 1572864.

The previous prime is 3162101. The next prime is 3162143. The reversal of 3162112 is 2112613.

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 802816 = 1536^2 + 896^2 .

It is a super-3 number, since 3×31621123 = 94853421170933366784, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16288 + ... + 16480.

Almost surely, 23162112 is an apocalyptic number.

3162112 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 3162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178399).

3162112 is an abundant number, since it is smaller than the sum of its proper divisors (3194686).

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

3162112 is an frugal number, since it uses more digits than its factorization.

3162112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 3162112 is about 1778.2328306496. The cubic root of 3162112 is about 146.7773636295. Note that the first 3 decimals are identical.

Adding to 3162112 its reverse (2112613), we get a palindrome (5274725).

The spelling of 3162112 in words is "three million, one hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1024 1544 2048 3088 4096 6176 8192 12352 16384 24704 49408 98816 197632 395264 790528 1581056 3162112