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3406148681 = 1318110131429
BaseRepresentation
bin1100101100000101…
…1011010001001001
322210101021021120212
43023001123101021
523433433224211
61321553330505
7150256533425
oct31301332111
98711237525
103406148681
111498755a11
127b0866a35
134238996c0
1424452bb85
1514e06e38b
hexcb05b449

3406148681 has 16 divisors (see below), whose sum is σ = 3694650960. Its totient is φ = 3121493760.

The previous prime is 3406148671. The next prime is 3406148689. The reversal of 3406148681 is 1868416043.

It can be written as a sum of positive squares in 8 ways, for example, as 2881005625 + 525143056 = 53675^2 + 22916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3406148681 is a prime.

It is a super-2 number, since 2×34061486812 = 23203697674156079522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3406148689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382875 + ... + 2384303.

It is an arithmetic number, because the mean of its divisors is an integer number (230915685).

Almost surely, 23406148681 is an apocalyptic number.

It is an amenable number.

3406148681 is a deficient number, since it is larger than the sum of its proper divisors (288502279).

3406148681 is a wasteful number, since it uses less digits than its factorization.

3406148681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636.

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 3406148681 is about 58362.2196373647. The cubic root of 3406148681 is about 1504.6004952781.

The spelling of 3406148681 in words is "three billion, four hundred six million, one hundred forty-eight thousand, six hundred eighty-one".

Divisors: 1 13 181 1013 1429 2353 13169 18577 183353 258649 1447577 2383589 3362437 18818501 262011437 3406148681