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11323008 = 27329829
BaseRepresentation
bin101011001100…
…011010000000
3210022021020200
4223030122000
510344314013
61042405200
7165146454
oct53143200
923267220
1011323008
116434164
123960800
132465b08
14170a664
15ed9e73
hexacc680

11323008 has 48 divisors (see below), whose sum is σ = 32586450. Its totient is φ = 3773952.

The previous prime is 11323007. The next prime is 11323019. The reversal of 11323008 is 80032311.

It can be written as a sum of positive squares in only one way, i.e., 7354944 + 3968064 = 2712^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (11323001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3763 + ... + 6066.

Almost surely, 211323008 is an apocalyptic number.

11323008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11323008 is an abundant number, since it is smaller than the sum of its proper divisors (21263442).

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

11323008 is an equidigital number, since it uses as much as digits as its factorization.

11323008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11323008 is about 3364.9677561605. The cubic root of 11323008 is about 224.5539013073.

Adding to 11323008 its reverse (80032311), we get a palindrome (91355319).

The spelling of 11323008 in words is "eleven million, three hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9829 19658 29487 39316 58974 78632 88461 117948 157264 176922 235896 314528 353844 471792 629056 707688 943584 1258112 1415376 1887168 2830752 3774336 5661504 11323008