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3105417 = 371943181
BaseRepresentation
bin1011110110001010001001
312211202211110
423312022021
51243333132
6150320533
735252460
oct13661211
95752743
103105417
111831167
121059149
13849633
145ab9d7
154151cc
hex2f6289

3105417 has 32 divisors (see below), whose sum is σ = 5125120. Its totient is φ = 1632960.

The previous prime is 3105413. The next prime is 3105419. The reversal of 3105417 is 7145013.

3105417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3105417 - 22 = 3105413 is a prime.

It is a super-2 number, since 2×31054172 = 19287229487778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

3105417 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3105393 and 3105402.

It is not an unprimeable number, because it can be changed into a prime (3105413) 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 31 ways as a sum of consecutive naturals, for example, 17067 + ... + 17247.

It is an arithmetic number, because the mean of its divisors is an integer number (160160).

Almost surely, 23105417 is an apocalyptic number.

It is an amenable number.

3105417 is a deficient number, since it is larger than the sum of its proper divisors (2019703).

3105417 is a wasteful number, since it uses less digits than its factorization.

3105417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 3105417 is about 1762.2193393559. The cubic root of 3105417 is about 145.8948545510.

The spelling of 3105417 in words is "three million, one hundred five thousand, four hundred seventeen".

Divisors: 1 3 7 19 21 43 57 129 133 181 301 399 543 817 903 1267 2451 3439 3801 5719 7783 10317 17157 23349 24073 54481 72219 147877 163443 443631 1035139 3105417