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3380578753 is a prime number
BaseRepresentation
bin1100100101111111…
…1000100111000001
322201121011012020111
43021133320213001
523410412010003
61315241311321
7146526305506
oct31137704701
98647135214
103380578753
111485280942
127a4195541
1341b4b5c76
14240d934ad
1514bbbce6d
hexc97f89c1

3380578753 has 2 divisors, whose sum is σ = 3380578754. Its totient is φ = 3380578752.

The previous prime is 3380578711. The next prime is 3380578757. The reversal of 3380578753 is 3578750833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3365392144 + 15186609 = 58012^2 + 3897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3380578753 is a prime.

It is a super-3 number, since 3×33805787533 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3380578697 and 3380578706.

It is not a weakly prime, because it can be changed into another prime (3380578757) 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 as a sum of consecutive naturals, namely, 1690289376 + 1690289377.

It is an arithmetic number, because the mean of its divisors is an integer number (1690289377).

Almost surely, 23380578753 is an apocalyptic number.

It is an amenable number.

3380578753 is a deficient number, since it is larger than the sum of its proper divisors (1).

3380578753 is an equidigital number, since it uses as much as digits as its factorization.

3380578753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 49.

The square root of 3380578753 is about 58142.7446290593. The cubic root of 3380578753 is about 1500.8260269621.

The spelling of 3380578753 in words is "three billion, three hundred eighty million, five hundred seventy-eight thousand, seven hundred fifty-three".