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11345024 = 27611453
BaseRepresentation
bin101011010001…
…110010000000
3210100101110002
4223101302000
510401020044
61043055132
7165300605
oct53216200
923311402
1011345024
116449759
1239714a8
132472b42
1417146ac
15ee174e
hexad1c80

11345024 has 32 divisors (see below), whose sum is σ = 22987740. Its totient is φ = 5575680.

The previous prime is 11345017. The next prime is 11345029. The reversal of 11345024 is 42054311.

It can be written as a sum of positive squares in 2 ways, for example, as 11343424 + 1600 = 3368^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 11344987 and 11345005.

It is not an unprimeable number, because it can be changed into a prime (11345029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7082 + ... + 8534.

Almost surely, 211345024 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 11345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11493870).

11345024 is an abundant number, since it is smaller than the sum of its proper divisors (11642716).

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

11345024 is an equidigital number, since it uses as much as digits as its factorization.

11345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 11345024 is about 3368.2375213159. The cubic root of 11345024 is about 224.6993449322.

Adding to 11345024 its reverse (42054311), we get a palindrome (53399335).

The spelling of 11345024 in words is "eleven million, three hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1453 1952 2906 3904 5812 7808 11624 23248 46496 88633 92992 177266 185984 354532 709064 1418128 2836256 5672512 11345024