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3458138113 = 17239379439
BaseRepresentation
bin1100111000011111…
…0000000000000001
322221000002121200101
43032013300000001
524040240404423
61331051522401
7151460455213
oct31607600001
98830077611
103458138113
111515035391
12806159401
134315a0491
1424b3c25b3
151538dd7ad
hexce1f0001

3458138113 has 16 divisors (see below), whose sum is σ = 3825239040. Its totient is φ = 3109556736.

The previous prime is 3458138107. The next prime is 3458138143. The reversal of 3458138113 is 3118318543.

It is a 3-Lehmer number, since φ(3458138113) divides (3458138113-1)3.

It is a cyclic number.

It is not a de Polignac number, because 3458138113 - 221 = 3456040961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3458138143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361648 + ... + 371086.

It is an arithmetic number, because the mean of its divisors is an integer number (239077440).

It is a Proth number, since it is equal to 52767 ⋅ 216 + 1 and 52767 < 216.

Almost surely, 23458138113 is an apocalyptic number.

It is an amenable number.

3458138113 is a deficient number, since it is larger than the sum of its proper divisors (367100927).

3458138113 is a wasteful number, since it uses less digits than its factorization.

3458138113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416.

The product of its digits is 34560, while the sum is 37.

The square root of 3458138113 is about 58805.9360354038. The cubic root of 3458138113 is about 1512.2169842065.

The spelling of 3458138113 in words is "three billion, four hundred fifty-eight million, one hundred thirty-eight thousand, one hundred thirteen".

Divisors: 1 17 23 391 937 9439 15929 21551 160463 217097 366367 3690649 8844343 150353831 203419889 3458138113