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348040933209 = 32416115462301
BaseRepresentation
bin1010001000010001101…
…10110010111101011001
31020021100120102021221200
411010020312302331121
521200241434330314
6423515433024413
734100531056164
oct5041066627531
91207316367850
10348040933209
11124670040492
1257552255109
1326a87a567c8
1412bb95d0adb
1590c0079709
hex5108db2f59

348040933209 has 24 divisors (see below), whose sum is σ = 523429847304. Its totient is φ = 222657120000.

The previous prime is 348040933199. The next prime is 348040933211. The reversal of 348040933209 is 902339040843.

348040933209 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 409 + 33 + 209 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1764000000 + 346276933209 = 42000^2 + 588453^2 .

It is not a de Polignac number, because 348040933209 - 24 = 348040933193 is a prime.

It is a super-2 number, since 2×3480409332092 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348040933909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7708642 + ... + 7753659.

It is an arithmetic number, because the mean of its divisors is an integer number (21809576971).

Almost surely, 2348040933209 is an apocalyptic number.

It is an amenable number.

348040933209 is a deficient number, since it is larger than the sum of its proper divisors (175388914095).

348040933209 is a wasteful number, since it uses less digits than its factorization.

348040933209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15462409 (or 15462406 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 348040933209 in words is "three hundred forty-eight billion, forty million, nine hundred thirty-three thousand, two hundred nine".

Divisors: 1 3 9 41 61 123 183 369 549 2501 7503 22509 15462301 46386903 139160709 633954341 943200361 1901863023 2829601083 5705589069 8488803249 38671214801 116013644403 348040933209