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11993344 = 28114259
BaseRepresentation
bin101101110000…
…000100000000
3211120022202221
4231300010000
511032241334
61105020424
7203641006
oct55600400
924508687
1011993344
116851860
124024714
13263bc6c
141842a76
1510bd8b4
hexb70100

11993344 has 36 divisors (see below), whose sum is σ = 26122320. Its totient is φ = 5450240.

The previous prime is 11993341. The next prime is 11993353. The reversal of 11993344 is 44339911.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11993341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 687 + ... + 4945.

It is an arithmetic number, because the mean of its divisors is an integer number (725620).

Almost surely, 211993344 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 11993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061160).

11993344 is an abundant number, since it is smaller than the sum of its proper divisors (14128976).

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

11993344 is an equidigital number, since it uses as much as digits as its factorization.

11993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4272 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 11993344 is about 3463.1407710343. The cubic root of 11993344 is about 228.9005116932.

The spelling of 11993344 in words is "eleven million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 4259 8518 17036 34072 46849 68144 93698 136288 187396 272576 374792 545152 749584 1090304 1499168 2998336 5996672 11993344