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3105606441 = 372361105407
BaseRepresentation
bin1011100100011011…
…1100101100101001
322000102202011010210
42321012330230221
522330013401231
61232055531333
7136650135120
oct27106745451
98012664123
103105606441
1113540410a3
12728089b49
133a653bb62
14216656ab7
151329a4a46
hexb91bcb29

3105606441 has 32 divisors (see below), whose sum is σ = 5019107328. Its totient is φ = 1669631040.

The previous prime is 3105606437. The next prime is 3105606463. The reversal of 3105606441 is 1446065013.

It is not a de Polignac number, because 3105606441 - 22 = 3105606437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3105606399 and 3105606408.

It is not an unprimeable number, because it can be changed into a prime (3105606431) 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 31 ways as a sum of consecutive naturals, for example, 23241 + ... + 82166.

It is an arithmetic number, because the mean of its divisors is an integer number (156847104).

Almost surely, 23105606441 is an apocalyptic number.

It is an amenable number.

3105606441 is a deficient number, since it is larger than the sum of its proper divisors (1913500887).

3105606441 is a wasteful number, since it uses less digits than its factorization.

3105606441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105501.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3105606441 is about 55727.9682116619. The cubic root of 3105606441 is about 1458.9782118476.

The spelling of 3105606441 in words is "three billion, one hundred five million, six hundred six thousand, four hundred forty-one".

Divisors: 1 3 7 21 23 61 69 161 183 427 483 1281 1403 4209 9821 29463 105407 316221 737849 2213547 2424361 6429827 7273083 16970527 19289481 45008789 50911581 135026367 147886021 443658063 1035202147 3105606441