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4282332329 = 114334791877
BaseRepresentation
bin1111111100111111…
…0011010010101001
3102001102222000121002
43333033303102221
532232234113304
61544533124345
7211056136622
oct37717632251
912042860532
104282332329
1118a82a0730
129b61896b5
13533274872
142c8a48a49
151a0e4431e
hexff3f34a9

4282332329 has 16 divisors (see below), whose sum is σ = 4694699520. Its totient is φ = 3873864960.

The previous prime is 4282332323. The next prime is 4282332337. The reversal of 4282332329 is 9232332824.

It is a cyclic number.

It is not a de Polignac number, because 4282332329 - 212 = 4282328233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4282332292 and 4282332301.

It is not an unprimeable number, because it can be changed into a prime (4282332323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2280539 + ... + 2282415.

It is an arithmetic number, because the mean of its divisors is an integer number (293418720).

Almost surely, 24282332329 is an apocalyptic number.

It is an amenable number.

4282332329 is a deficient number, since it is larger than the sum of its proper divisors (412367191).

4282332329 is a wasteful number, since it uses less digits than its factorization.

4282332329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800.

The product of its digits is 124416, while the sum is 38.

The square root of 4282332329 is about 65439.5318519318. The cubic root of 4282332329 is about 1623.9031435406.

The spelling of 4282332329 in words is "four billion, two hundred eighty-two million, three hundred thirty-two thousand, three hundred twenty-nine".

Divisors: 1 11 433 479 1877 4763 5269 20647 207407 812741 899083 2281477 8940151 9889913 389302939 4282332329