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11324304 = 2432194139
BaseRepresentation
bin101011001100…
…101110010000
3210022100000200
4223030232100
510344334204
61042415200
7165153315
oct53145620
923270020
1011324304
116435132
123961500
132466594
14170ad0c
15eda539
hexaccb90

11324304 has 60 divisors (see below), whose sum is σ = 33368400. Its totient is φ = 3575232.

The previous prime is 11324293. The next prime is 11324311. The reversal of 11324304 is 40342311.

It is a super-2 number, since 2×113243042 = 256479722168832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 667 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (556140).

Almost surely, 211324304 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 11324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684200).

11324304 is an abundant number, since it is smaller than the sum of its proper divisors (22044096).

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

11324304 is a wasteful number, since it uses less digits than its factorization.

11324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4163 counting only the distinct ones).

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

The square root of 11324304 is about 3365.1603230753. The cubic root of 11324304 is about 224.5624682521.

Adding to 11324304 its reverse (40342311), we get a palindrome (51666615).

It can be divided in two parts, 11324 and 304, that added together give a triangular number (11628 = T152).

The spelling of 11324304 in words is "eleven million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4139 8278 12417 16556 24834 33112 37251 49668 66224 74502 78641 99336 149004 157282 198672 235923 298008 314564 471846 596016 629128 707769 943692 1258256 1415538 1887384 2831076 3774768 5662152 11324304