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3412429057 = 17241972969
BaseRepresentation
bin1100101101100101…
…1000100100000001
322210211002100122101
43023121120210001
523442040212212
61322340110401
7150364111522
oct31331304401
98724070571
103412429057
1114a1255504
127b2995401
13424c881bb
142452c4849
1514e8b0157
hexcb658901

3412429057 has 24 divisors (see below), whose sum is σ = 3752927640. Its totient is φ = 3100016640.

The previous prime is 3412429003. The next prime is 3412429103. The reversal of 3412429057 is 7509242143.

It is a Cunningham number, because it is equal to 584162+1.

It can be written as a sum of positive squares in 12 ways, for example, as 1614753856 + 1797675201 = 40184^2 + 42399^2 .

It is not a de Polignac number, because 3412429057 - 227 = 3278211329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3412429957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147869 + ... + 1150837.

It is an arithmetic number, because the mean of its divisors is an integer number (156371985).

Almost surely, 23412429057 is an apocalyptic number.

It is an amenable number.

3412429057 is a deficient number, since it is larger than the sum of its proper divisors (340498583).

3412429057 is a wasteful number, since it uses less digits than its factorization.

3412429057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 3412429057 is about 58416.0000085593. Note that the first 5 decimals coincide. The cubic root of 3412429057 is about 1505.5246724960.

The spelling of 3412429057 in words is "three billion, four hundred twelve million, four hundred twenty-nine thousand, fifty-seven".

Divisors: 1 17 41 97 289 697 1649 2969 3977 11849 28033 50473 67609 121729 287993 858041 1149353 2069393 4895881 11807713 35179681 83229977 200731121 3412429057