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2004200344 = 233124133533
BaseRepresentation
bin111011101110101…
…1010101110011000
312011200020221000101
41313131122232120
513101033402334
6530512545144
7100444264456
oct16735325630
95150227011
102004200344
11939356423
1247b2521b4
1325c2b8183
1415026d9d6
15bae42214
hex7775ab98

2004200344 has 32 divisors (see below), whose sum is σ = 3895309440. Its totient is φ = 965721600.

The previous prime is 2004200333. The next prime is 2004200357. The reversal of 2004200344 is 4430024002.

It is a super-3 number, since 3×20042003443 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43002 + ... + 76534.

It is an arithmetic number, because the mean of its divisors is an integer number (121728420).

Almost surely, 22004200344 is an apocalyptic number.

It is an amenable number.

2004200344 is a deficient number, since it is larger than the sum of its proper divisors (1891109096).

2004200344 is a wasteful number, since it uses less digits than its factorization.

2004200344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33811 (or 33807 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2004200344 is about 44768.2961927300. The cubic root of 2004200344 is about 1260.8024501222.

Adding to 2004200344 its reverse (4430024002), we get a palindrome (6434224346).

The spelling of 2004200344 in words is "two billion, four million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 4 8 31 62 124 241 248 482 964 1928 7471 14942 29884 33533 59768 67066 134132 268264 1039523 2079046 4158092 8081453 8316184 16162906 32325812 64651624 250525043 501050086 1002100172 2004200344