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3382130411 = 112314571973
BaseRepresentation
bin1100100110010111…
…0011011011101011
322201201002000201022
43021211303123223
523411311133121
61315334443055
7146545430342
oct31145633353
98651060638
103382130411
111486140700
127a480348b
1341b90a2ca
14241278b59
1514bdc7aab
hexc99736eb

3382130411 has 24 divisors (see below), whose sum is σ = 3847815552. Its totient is φ = 2967465600.

The previous prime is 3382130407. The next prime is 3382130429. The reversal of 3382130411 is 1140312833.

It is not a de Polignac number, because 3382130411 - 22 = 3382130407 is a prime.

It is a super-2 number, since 2×33821304112 = 22877612234022057842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3382130461) 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, 1713221 + ... + 1715193.

It is an arithmetic number, because the mean of its divisors is an integer number (160325648).

Almost surely, 23382130411 is an apocalyptic number.

3382130411 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3382130411 is a deficient number, since it is larger than the sum of its proper divisors (465685141).

3382130411 is a wasteful number, since it uses less digits than its factorization.

3382130411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3382130411 is about 58156.0866204046. The cubic root of 3382130411 is about 1501.0556141301.

The spelling of 3382130411 in words is "three billion, three hundred eighty-two million, one hundred thirty thousand, four hundred eleven".

Divisors: 1 11 31 121 341 457 1973 3751 5027 14167 21703 55297 61163 155837 238733 672793 901661 1714207 7400723 9918271 27951491 109100981 307466401 3382130411