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315446341 = 71919312289
BaseRepresentation
bin10010110011010…
…101010001000101
3210222120100000211
4102303111101011
51121223240331
651145035421
710550151430
oct2263252105
9728510024
10315446341
11152074561
1289785b71
1350478652
142dc74817
151ca608b1
hex12cd5445

315446341 has 16 divisors (see below), whose sum is σ = 381481600. Its totient is φ = 254803968.

The previous prime is 315446321. The next prime is 315446377. The reversal of 315446341 is 143644513.

It is a happy number.

It is a 10-Lehmer number, since φ(315446341) divides (315446341-1)10.

It is a cyclic number.

It is not a de Polignac number, because 315446341 - 25 = 315446309 is a prime.

It is a Duffinian number.

315446341 is a modest number, since divided by 46341 gives 3154 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315446321) 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 15 ways as a sum of consecutive naturals, for example, 19525 + ... + 31813.

It is an arithmetic number, because the mean of its divisors is an integer number (23842600).

Almost surely, 2315446341 is an apocalyptic number.

It is an amenable number.

315446341 is a deficient number, since it is larger than the sum of its proper divisors (66035259).

315446341 is a wasteful number, since it uses less digits than its factorization.

315446341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508.

The product of its digits is 17280, while the sum is 31.

The square root of 315446341 is about 17760.8091313431. The cubic root of 315446341 is about 680.7304297966.

The spelling of 315446341 in words is "three hundred fifteen million, four hundred forty-six thousand, three hundred forty-one".

Divisors: 1 7 19 133 193 1351 3667 12289 25669 86023 233491 1634437 2371777 16602439 45063763 315446341