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3404311141 = 711429710289
BaseRepresentation
bin1100101011101001…
…1010101001100101
322210020210220221211
43022322122221211
523433000424031
61321450111421
7150235111240
oct31272325145
98706726854
103404311141
111497710390
127b011b571
134233a51ba
142441b0257
1514dd09bb1
hexcae9aa65

3404311141 has 16 divisors (see below), whose sum is σ = 4245736320. Its totient is φ = 2651834880.

The previous prime is 3404311129. The next prime is 3404311147. The reversal of 3404311141 is 1411134043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3404311141 - 29 = 3404310629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404311147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325725 + ... + 336013.

It is an arithmetic number, because the mean of its divisors is an integer number (265358520).

Almost surely, 23404311141 is an apocalyptic number.

It is an amenable number.

3404311141 is a deficient number, since it is larger than the sum of its proper divisors (841425179).

3404311141 is a wasteful number, since it uses less digits than its factorization.

3404311141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14604.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3404311141 is about 58346.4749663594. The cubic root of 3404311141 is about 1504.3298806555.

Adding to 3404311141 its reverse (1411134043), we get a palindrome (4815445184).

The spelling of 3404311141 in words is "three billion, four hundred four million, three hundred eleven thousand, one hundred forty-one".

Divisors: 1 7 11 77 4297 10289 30079 47267 72023 113179 330869 792253 44211833 309482831 486330163 3404311141