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346966321 = 13181147457
BaseRepresentation
bin10100101011100…
…100100100110001
3220011212201022111
4110223210210301
51202310410241
654232405321
711412110422
oct2453444461
9804781274
10346966321
11168942a29
1298246841
1356b63420
143411b649
15206d9c81
hex14ae4931

346966321 has 8 divisors (see below), whose sum is σ = 375722984. Its totient is φ = 318504960.

The previous prime is 346966309. The next prime is 346966349. The reversal of 346966321 is 123669643.

It can be written as a sum of positive squares in 4 ways, for example, as 20802721 + 326163600 = 4561^2 + 18060^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(346966321) divides (346966321-1)5.

It is a cyclic number.

It is not a de Polignac number, because 346966321 - 29 = 346965809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (346966721) 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 7 ways as a sum of consecutive naturals, for example, 71376 + ... + 76081.

It is an arithmetic number, because the mean of its divisors is an integer number (46965373).

Almost surely, 2346966321 is an apocalyptic number.

It is an amenable number.

346966321 is a deficient number, since it is larger than the sum of its proper divisors (28756663).

346966321 is a wasteful number, since it uses less digits than its factorization.

346966321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147651.

The product of its digits is 139968, while the sum is 40.

The square root of 346966321 is about 18627.0319965366. The cubic root of 346966321 is about 702.6878436222.

The spelling of 346966321 in words is "three hundred forty-six million, nine hundred sixty-six thousand, three hundred twenty-one".

Divisors: 1 13 181 2353 147457 1916941 26689717 346966321