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3240041344 = 2773346751
BaseRepresentation
bin1100000100011111…
…0001101110000000
322100210201011011021
43001013301232000
523113422310334
61253301155224
7143201616451
oct30107615600
98323634137
103240041344
111412a12021
127650bbb14
133c834b137
1422a44d128
1513e6ac3b4
hexc11f1b80

3240041344 has 32 divisors (see below), whose sum is σ = 6543210240. Its totient is φ = 1597824000.

The previous prime is 3240041341. The next prime is 3240041393. The reversal of 3240041344 is 4431400423.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240041341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164032 + ... + 182719.

It is an arithmetic number, because the mean of its divisors is an integer number (204475320).

Almost surely, 23240041344 is an apocalyptic number.

It is an amenable number.

3240041344 is an abundant number, since it is smaller than the sum of its proper divisors (3303168896).

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

3240041344 is an equidigital number, since it uses as much as digits as its factorization.

3240041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346838 (or 346826 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3240041344 is about 56921.3610518933. The cubic root of 3240041344 is about 1479.7335385883.

Adding to 3240041344 its reverse (4431400423), we get a palindrome (7671441767).

The spelling of 3240041344 in words is "three billion, two hundred forty million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 346751 693502 1387004 2774008 5548016 11096032 22192064 25312823 44384128 50625646 101251292 202502584 405005168 810010336 1620020672 3240041344