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3406645341 = 3211297431597
BaseRepresentation
bin1100101100001101…
…0100100001011101
322210102012111212200
43023003110201131
523434100122331
61322012122113
7150264002421
oct31303244135
98712174780
103406645341
111498a65080
127b0a66339
13423a11798
1424461ab81
1514e11b5e6
hexcb0d485d

3406645341 has 48 divisors (see below), whose sum is σ = 5564108160. Its totient is φ = 1989509760.

The previous prime is 3406645339. The next prime is 3406645357. The reversal of 3406645341 is 1435466043.

3406645341 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 645 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 3406645341 - 21 = 3406645339 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3406645296 and 3406645305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406645301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2132355 + ... + 2133951.

It is an arithmetic number, because the mean of its divisors is an integer number (115918920).

Almost surely, 23406645341 is an apocalyptic number.

It is an amenable number.

3406645341 is a deficient number, since it is larger than the sum of its proper divisors (2157462819).

3406645341 is a wasteful number, since it uses less digits than its factorization.

3406645341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3406645341 is about 58366.4744609438. The cubic root of 3406645341 is about 1504.6736217164.

The spelling of 3406645341 in words is "three billion, four hundred six million, six hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 743 957 1597 2229 2871 4791 6687 8173 14373 17567 21547 24519 46313 52701 64641 73557 138939 158103 193923 237017 416817 509443 711051 1186571 1528329 2133153 3559713 4584987 10679139 13052281 34410559 39156843 103231677 117470529 309695031 378516149 1135548447 3406645341