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3980417 = 7281233
BaseRepresentation
bin1111001011110010000001
321111020002212
433023302001
52004333132
6221151505
745555500
oct17136201
97436085
103980417
112279601
1213bb595
13a9499c
14758837
155395b2
hex3cbc81

3980417 has 6 divisors (see below), whose sum is σ = 4630338. Its totient is φ = 3411744.

The previous prime is 3980407. The next prime is 3980419. The reversal of 3980417 is 7140893.

3980417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3519376 + 461041 = 1876^2 + 679^2 .

It is not a de Polignac number, because 3980417 - 24 = 3980401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3980419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40568 + ... + 40665.

It is an arithmetic number, because the mean of its divisors is an integer number (771723).

Almost surely, 23980417 is an apocalyptic number.

It is an amenable number.

3980417 is a deficient number, since it is larger than the sum of its proper divisors (649921).

3980417 is an equidigital number, since it uses as much as digits as its factorization.

3980417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81247 (or 81240 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 3980417 is about 1995.0982431951. The cubic root of 3980417 is about 158.4806306709.

The spelling of 3980417 in words is "three million, nine hundred eighty thousand, four hundred seventeen".

Divisors: 1 7 49 81233 568631 3980417