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3436682041 = 133119942853
BaseRepresentation
bin1100110011010111…
…1001101100111001
322212111201112111001
43030311321230321
524014242311131
61325004005001
7151110213112
oct31465715471
98774645431
103436682041
111503a100a1
127bab30761
13429cca390
142485d9209
15151aa1261
hexccd79b39

3436682041 has 16 divisors (see below), whose sum is σ = 3839718400. Its totient is φ = 3054490560.

The previous prime is 3436682023. The next prime is 3436682059. The reversal of 3436682041 is 1402866343.

It is an interprime number because it is at equal distance from previous prime (3436682023) and next prime (3436682059).

It is a cyclic number.

It is not a de Polignac number, because 3436682041 - 211 = 3436679993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3436682341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58771 + ... + 101623.

It is an arithmetic number, because the mean of its divisors is an integer number (239982400).

Almost surely, 23436682041 is an apocalyptic number.

3436682041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3436682041 is a deficient number, since it is larger than the sum of its proper divisors (403036359).

3436682041 is a wasteful number, since it uses less digits than its factorization.

3436682041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43096.

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 3436682041 is about 58623.2210049908. The cubic root of 3436682041 is about 1509.0829689174.

The spelling of 3436682041 in words is "three billion, four hundred thirty-six million, six hundred eighty-two thousand, forty-one".

Divisors: 1 13 31 199 403 2587 6169 42853 80197 557089 1328443 8527747 17269759 110860711 264360157 3436682041