Search a number
-
+
3413130085 = 53976012861
BaseRepresentation
bin1100101101110000…
…0011101101100101
322210212101222021101
43023130003231211
523442230130320
61322403120101
7150403061401
oct31334035545
98725358241
103413130085
1114a1694172
127b3073031
13425172301
14245428101
1514e99cc0a
hexcb703b65

3413130085 has 16 divisors (see below), whose sum is σ = 4114342512. Its totient is φ = 2718144000.

The previous prime is 3413130073. The next prime is 3413130121. The reversal of 3413130085 is 5800313143.

It is a Cunningham number, because it is equal to 584222+1.

It can be written as a sum of positive squares in 8 ways, for example, as 181548676 + 3231581409 = 13474^2 + 56847^2 .

It is not a de Polignac number, because 3413130085 - 25 = 3413130053 is a prime.

It is a super-3 number, since 3×34131300853 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1191555 + ... + 1194415.

It is an arithmetic number, because the mean of its divisors is an integer number (257146407).

Almost surely, 23413130085 is an apocalyptic number.

It is an amenable number.

3413130085 is a deficient number, since it is larger than the sum of its proper divisors (701212427).

3413130085 is a wasteful number, since it uses less digits than its factorization.

3413130085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 3413130085 is about 58422.0000085584. Note that the first 5 decimals coincide. The cubic root of 3413130085 is about 1505.6277606158.

The spelling of 3413130085 in words is "three billion, four hundred thirteen million, one hundred thirty thousand, eighty-five".

Divisors: 1 5 397 601 1985 2861 3005 14305 238597 1135817 1192985 1719461 5679085 8597305 682626017 3413130085