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12034304 = 28291621
BaseRepresentation
bin101101111010…
…000100000000
3211122101221222
4231322010000
511040044204
61105534212
7204201302
oct55720400
924571858
1012034304
11687a607
124044368
1326547b9
141853972
1510caabe
hexb7a100

12034304 has 36 divisors (see below), whose sum is σ = 24865260. Its totient is φ = 5806080.

The previous prime is 12034301. The next prime is 12034327. The reversal of 12034304 is 40343021.

It can be written as a sum of positive squares in 2 ways, for example, as 7840000 + 4194304 = 2800^2 + 2048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034301) 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, 6614 + ... + 8234.

Almost surely, 212034304 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 12034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432630).

12034304 is an abundant number, since it is smaller than the sum of its proper divisors (12830956).

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

12034304 is an equidigital number, since it uses as much as digits as its factorization.

12034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 12034304 is about 3469.0494375261. The cubic root of 12034304 is about 229.1607980572.

Adding to 12034304 its reverse (40343021), we get a palindrome (52377325).

The spelling of 12034304 in words is "twelve million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1621 1856 3242 3712 6484 7424 12968 25936 47009 51872 94018 103744 188036 207488 376072 414976 752144 1504288 3008576 6017152 12034304