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3382800857 is a prime number
BaseRepresentation
bin1100100110100001…
…0111000111011001
322201202100002101122
43021220113013121
523411444111412
61315401055025
7146554222112
oct31150270731
98652302348
103382800857
111486559397
127a4a87475
1341bab3517
142413b1209
1514beab572
hexc9a171d9

3382800857 has 2 divisors, whose sum is σ = 3382800858. Its totient is φ = 3382800856.

The previous prime is 3382800853. The next prime is 3382800901. The reversal of 3382800857 is 7580082833.

3382800857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (3382800901) can be obtained adding 3382800857 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3140033296 + 242767561 = 56036^2 + 15581^2 .

It is a cyclic number.

It is not a de Polignac number, because 3382800857 - 22 = 3382800853 is a prime.

It is a super-2 number, since 2×33828008572 = 22886683276239868898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3382800851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1691400428 + 1691400429.

It is an arithmetic number, because the mean of its divisors is an integer number (1691400429).

Almost surely, 23382800857 is an apocalyptic number.

It is an amenable number.

3382800857 is a deficient number, since it is larger than the sum of its proper divisors (1).

3382800857 is an equidigital number, since it uses as much as digits as its factorization.

3382800857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 3382800857 is about 58161.8505293633. The cubic root of 3382800857 is about 1501.1547932587.

The spelling of 3382800857 in words is "three billion, three hundred eighty-two million, eight hundred thousand, eight hundred fifty-seven".