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11340032 = 28114027
BaseRepresentation
bin101011010000…
…100100000000
3210100010121012
4223100210000
510400340112
61043020052
7165250214
oct53204400
923303535
1011340032
116445a30
12396a628
1324707a2
141712944
15ee0022
hexad0900

11340032 has 36 divisors (see below), whose sum is σ = 24699696. Its totient is φ = 5153280.

The previous prime is 11340031. The next prime is 11340047. The reversal of 11340032 is 23004311.

It is a super-2 number, since 2×113400322 = 257192651522048, which contains 22 as substring.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11339989 and 11340016.

It is not an unprimeable number, because it can be changed into a prime (11340031) 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, 803 + ... + 4829.

Almost surely, 211340032 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 11340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349848).

11340032 is an abundant number, since it is smaller than the sum of its proper divisors (13359664).

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

11340032 is an equidigital number, since it uses as much as digits as its factorization.

11340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 11340032 is about 3367.4963994042. The cubic root of 11340032 is about 224.6663829426. Note that the first 3 decimals are identical.

Adding to 11340032 its reverse (23004311), we get a palindrome (34344343).

It can be divided in two parts, 11 and 340032, that added together give a palindrome (340043).

The spelling of 11340032 in words is "eleven million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 4027 8054 16108 32216 44297 64432 88594 128864 177188 257728 354376 515456 708752 1030912 1417504 2835008 5670016 11340032