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3001414005 = 325173923417
BaseRepresentation
bin1011001011100101…
…1111000101110101
321202011200121222200
42302321133011311
522121330222010
61213454415113
7134243412102
oct26271370565
97664617880
103001414005
111300246847
126b9201499
1338aa8b025
14206893aa9
15128772cc0
hexb2e5f175

3001414005 has 24 divisors (see below), whose sum is σ = 5508478872. Its totient is φ = 1506591744.

The previous prime is 3001413991. The next prime is 3001414007. The reversal of 3001414005 is 5004141003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 580183569 + 2421230436 = 24087^2 + 49206^2 .

It is not a de Polignac number, because 3001414005 - 211 = 3001411957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001414007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1960944 + ... + 1962473.

It is an arithmetic number, because the mean of its divisors is an integer number (229519953).

Almost surely, 23001414005 is an apocalyptic number.

It is an amenable number.

3001414005 is a deficient number, since it is larger than the sum of its proper divisors (2507064867).

3001414005 is a wasteful number, since it uses less digits than its factorization.

3001414005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923445 (or 3923442 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3001414005 is about 54785.1622704542. The cubic root of 3001414005 is about 1442.4761289499.

Adding to 3001414005 its reverse (5004141003), we get a palindrome (8005555008).

The spelling of 3001414005 in words is "three billion, one million, four hundred fourteen thousand, five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 3923417 11770251 19617085 35310753 58851255 66698089 176553765 200094267 333490445 600282801 1000471335 3001414005