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3414841 = 17376189
BaseRepresentation
bin1101000001101100111001
320102111021121
431001230321
51333233331
6201105241
741011543
oct15015471
96374247
103414841
111a22691
121188221
13927421
1464c693
15476c11
hex341b39

3414841 has 16 divisors (see below), whose sum is σ = 3816720. Its totient is φ = 3041280.

The previous prime is 3414809. The next prime is 3414857. The reversal of 3414841 is 1484143.

3414841 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 8 ways, for example, as 29241 + 3385600 = 171^2 + 1840^2 .

It is a 4-Lehmer number, since φ(3414841) divides (3414841-1)4.

It is a cyclic number.

It is not a de Polignac number, because 3414841 - 25 = 3414809 is a prime.

It is a super-2 number, since 2×34148412 = 23322278110562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3414041) 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 15 ways as a sum of consecutive naturals, for example, 38325 + ... + 38413.

It is an arithmetic number, because the mean of its divisors is an integer number (238545).

Almost surely, 23414841 is an apocalyptic number.

It is an amenable number.

3414841 is a deficient number, since it is larger than the sum of its proper divisors (401879).

3414841 is a wasteful number, since it uses less digits than its factorization.

3414841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 1536, while the sum is 25.

The square root of 3414841 is about 1847.9288406213. The cubic root of 3414841 is about 150.5879296181.

Adding to 3414841 its reverse (1484143), we get a palindrome (4898984).

The spelling of 3414841 in words is "three million, four hundred fourteen thousand, eight hundred forty-one".

Divisors: 1 17 37 61 89 629 1037 1513 2257 3293 5429 38369 55981 92293 200873 3414841