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3123312 = 243312099
BaseRepresentation
bin1011111010100001110000
312212200101020
423322201300
51244421222
6150535440
735355603
oct13724160
95780336
103123312
111843655
121067580
1385481a
145b433a
1541a65c
hex2fa870

3123312 has 40 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 1007040.

The previous prime is 3123287. The next prime is 3123317. The reversal of 3123312 is 2133213.

3123312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3123291 and 3123300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439 + ... + 2537.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 23123312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

3123312 is an abundant number, since it is smaller than the sum of its proper divisors (5209488).

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

3123312 is a wasteful number, since it uses less digits than its factorization.

3123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2135 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 3123312 is about 1767.2894499770. The cubic root of 3123312 is about 146.1745582125.

Adding to 3123312 its reverse (2133213), we get a palindrome (5256525).

Subtracting from 3123312 its reverse (2133213), we obtain a palindrome (990099).

The spelling of 3123312 in words is "three million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 2099 4198 6297 8396 12594 16792 25188 33584 50376 65069 100752 130138 195207 260276 390414 520552 780828 1041104 1561656 3123312