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243452313 = 32134015189
BaseRepresentation
bin11101000001011…
…00100110011001
3121222002122210100
432200230212121
5444310433223
640054010013
76014211336
oct1640544631
9558078710
10243452313
11115471365
1269646909
133b58c330
142449398d
151658e043
hexe82c999

243452313 has 24 divisors (see below), whose sum is σ = 379721160. Its totient is φ = 149414400.

The previous prime is 243452243. The next prime is 243452329. The reversal of 243452313 is 313254342.

243452313 is a `hidden beast` number, since 2 + 4 + 345 + 2 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99740169 + 143712144 = 9987^2 + 11988^2 .

It is not a de Polignac number, because 243452313 - 210 = 243451289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (243452333) 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 23 ways as a sum of consecutive naturals, for example, 44323 + ... + 49511.

It is an arithmetic number, because the mean of its divisors is an integer number (15821715).

Almost surely, 2243452313 is an apocalyptic number.

It is an amenable number.

243452313 is a deficient number, since it is larger than the sum of its proper divisors (136268847).

243452313 is a wasteful number, since it uses less digits than its factorization.

243452313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609 (or 5606 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 243452313 is about 15602.9584694698. The cubic root of 243452313 is about 624.4120875744.

The spelling of 243452313 in words is "two hundred forty-three million, four hundred fifty-two thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 117 401 1203 3609 5189 5213 15567 15639 46701 46917 67457 202371 607113 2080789 6242367 18727101 27050257 81150771 243452313