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3248417201 = 61138138561
BaseRepresentation
bin1100000110011110…
…1110100110110001
322101101110200200012
43001213232212301
523123043322301
61254200504305
7143333043041
oct30147564661
98341420605
103248417201
111417712a17
12767a7b095
133c9cc1673
1422b5cd721
151402b3ebb
hexc19ee9b1

3248417201 has 8 divisors (see below), whose sum is σ = 3304146408. Its totient is φ = 3192768000.

The previous prime is 3248417147. The next prime is 3248417203. The reversal of 3248417201 is 1027148423.

It can be written as a sum of positive squares in 4 ways, for example, as 17631601 + 3230785600 = 4199^2 + 56840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3248417201 - 210 = 3248416177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3248417203) 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 7 ways as a sum of consecutive naturals, for example, 64961 + ... + 103521.

It is an arithmetic number, because the mean of its divisors is an integer number (413018301).

Almost surely, 23248417201 is an apocalyptic number.

It is an amenable number.

3248417201 is a deficient number, since it is larger than the sum of its proper divisors (55729207).

3248417201 is a wasteful number, since it uses less digits than its factorization.

3248417201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40003.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 3248417201 is about 56994.8874987924. The cubic root of 3248417201 is about 1481.0075317816.

The spelling of 3248417201 in words is "three billion, two hundred forty-eight million, four hundred seventeen thousand, two hundred one".

Divisors: 1 61 1381 38561 84241 2352221 53252741 3248417201