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11424312 = 23321011571
BaseRepresentation
bin101011100101…
…001000111000
3210111102012200
4223211020320
510411034222
61044510200
7166051014
oct53451070
923442180
1011424312
1164a3289
1239ab360
13249cc63
141735544
151009eac
hexae5238

11424312 has 48 divisors (see below), whose sum is σ = 31267080. Its totient is φ = 3768000.

The previous prime is 11424299. The next prime is 11424313. The reversal of 11424312 is 21342411.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424313) 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 11 ways as a sum of consecutive naturals, for example, 6487 + ... + 8057.

Almost surely, 211424312 is an apocalyptic number.

11424312 is a gapful number since it is divisible by the number (12) 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 11424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633540).

11424312 is an abundant number, since it is smaller than the sum of its proper divisors (19842768).

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

11424312 is a wasteful number, since it uses less digits than its factorization.

11424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1677 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11424312 is about 3379.9869822235. The cubic root of 11424312 is about 225.2215891058.

Adding to 11424312 its reverse (21342411), we get a palindrome (32766723).

The spelling of 11424312 in words is "eleven million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1571 1818 2424 3142 3636 4713 6284 7272 9426 12568 14139 18852 28278 37704 56556 113112 158671 317342 476013 634684 952026 1269368 1428039 1904052 2856078 3808104 5712156 11424312