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3429260757 = 3213171724113
BaseRepresentation
bin1100110001100110…
…0101110111010101
322211222202111101200
43030121211313111
524010342321012
61324140543113
7150660143526
oct31431456725
98758674350
103429260757
1114aa8013aa
127b8551a99
134285cc4a0
1424762684d
151510d73dc
hexcc665dd5

3429260757 has 24 divisors (see below), whose sum is σ = 5648197464. Its totient is φ = 1986177024.

The previous prime is 3429260743. The next prime is 3429260761. The reversal of 3429260757 is 7570629243.

3429260757 is a `hidden beast` number, since 34 + 2 + 9 + 2 + 607 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1520532036 + 1908728721 = 38994^2 + 43689^2 .

It is not a de Polignac number, because 3429260757 - 24 = 3429260741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429260057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860068 + ... + 864045.

It is an arithmetic number, because the mean of its divisors is an integer number (235341561).

Almost surely, 23429260757 is an apocalyptic number.

It is an amenable number.

3429260757 is a deficient number, since it is larger than the sum of its proper divisors (2218936707).

3429260757 is a wasteful number, since it uses less digits than its factorization.

3429260757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724149 (or 1724146 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3429260757 is about 58559.8903431350. The cubic root of 3429260757 is about 1507.9959316485.

The spelling of 3429260757 in words is "three billion, four hundred twenty-nine million, two hundred sixty thousand, seven hundred fifty-seven".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 1724113 5172339 15517017 22413469 29309921 67240407 87929763 201721221 263789289 381028973 1143086919 3429260757