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34324602361 = 741921992
BaseRepresentation
bin11111111101111001…
…111101110111111001
310021121010210110112221
4133331321331313321
51030244044233421
623433555204041
72323411210000
oct377571756771
9107533713487
1034324602361
1113614385875
12679b2a6621
1333103197ca
141938937c37
15d5d61c841
hex7fde7ddf9

34324602361 has 45 divisors (see below), whose sum is σ = 42474870981. Its totient is φ = 27732546072.

The previous prime is 34324602353. The next prime is 34324602493. The reversal of 34324602361 is 16320642343.

The square root of 34324602361 is 185269.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 34324602361 - 23 = 34324602353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34324602341) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 172485340 + ... + 172485538.

Almost surely, 234324602361 is an apocalyptic number.

34324602361 is the 185269-th square number.

34324602361 is the 92635-th centered octagonal number.

It is an amenable number.

34324602361 is a deficient number, since it is larger than the sum of its proper divisors (8150268620).

34324602361 is an frugal number, since it uses more digits than its factorization.

34324602361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The spelling of 34324602361 in words is "thirty-four billion, three hundred twenty-four million, six hundred two thousand, three hundred sixty-one".

Divisors: 1 7 19 49 133 199 343 361 931 1393 2401 2527 3781 6517 9751 17689 26467 39601 45619 68257 71839 123823 185269 277207 477799 502873 752419 866761 1296883 1940449 3520111 5266933 9078181 13583143 14295961 24640777 36868531 95082001 100071727 172485439 258079717 700502089 1806558019 4903514623 34324602361