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11434624 = 27157569
BaseRepresentation
bin101011100111…
…101010000000
3210111221100121
4223213222000
510411401444
61045030024
7166123045
oct53475200
923457317
1011434624
116500003
1239b5314
1324a4866
1417391cc
15100d084
hexae7a80

11434624 has 32 divisors (see below), whose sum is σ = 22965300. Its totient is φ = 5670912.

The previous prime is 11434609. The next prime is 11434627. The reversal of 11434624 is 42643411.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 937024 = 3240^2 + 968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11434627) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 19812 + ... + 20380.

Almost surely, 211434624 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 11434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11482650).

11434624 is an abundant number, since it is smaller than the sum of its proper divisors (11530676).

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

11434624 is an equidigital number, since it uses as much as digits as its factorization.

11434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 728 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 11434624 is about 3381.5120878092. The cubic root of 11434624 is about 225.2893331296.

The spelling of 11434624 in words is "eleven million, four hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 157 314 569 628 1138 1256 2276 2512 4552 5024 9104 10048 18208 20096 36416 72832 89333 178666 357332 714664 1429328 2858656 5717312 11434624