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11322324 = 22321321861
BaseRepresentation
bin101011001100…
…001111010100
3210022020022100
4223030033110
510344303244
61042402100
7165144456
oct53141724
923266270
1011322324
1164336a2
123960330
132465700
14170a2d6
15ed9b69
hexacc3d4

11322324 has 54 divisors (see below), whose sum is σ = 31007886. Its totient is φ = 3481920.

The previous prime is 11322319. The next prime is 11322329. The reversal of 11322324 is 42322311.

11322324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11322319) and next prime (11322329).

It can be written as a sum of positive squares in 3 ways, for example, as 1512900 + 9809424 = 1230^2 + 3132^2 .

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 junction number, because it is equal to n+sod(n) for n = 11322297 and 11322306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5154 + ... + 7014.

Almost surely, 211322324 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 11322324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503943).

11322324 is an abundant number, since it is smaller than the sum of its proper divisors (19685562).

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

11322324 is a wasteful number, since it uses less digits than its factorization.

11322324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1879 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 11322324 is about 3364.8661191792. The cubic root of 11322324 is about 224.5493796007.

Adding to 11322324 its reverse (42322311), we get a palindrome (53644635).

The spelling of 11322324 in words is "eleven million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 1861 2028 3042 3722 5583 6084 7444 11166 16749 22332 24193 33498 48386 66996 72579 96772 145158 217737 290316 314509 435474 629018 870948 943527 1258036 1887054 2830581 3774108 5661162 11322324