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34275754341 = 35674634547
BaseRepresentation
bin11111111010111111…
…101000000101100101
310021110201212201200000
4133322333220011211
51030144043114331
623425052211513
72322246050643
oct377277500545
9107421781600
1034275754341
1113599851604
126786a69b99
13330317585a
141932260193
15d591be0e6
hex7fafe8165

34275754341 has 48 divisors (see below), whose sum is σ = 52233452544. Its totient is φ = 22455894384.

The previous prime is 34275754339. The next prime is 34275754423. The reversal of 34275754341 is 14345757243.

It is a happy number.

34275754341 is a `hidden beast` number, since 3 + 42 + 7 + 575 + 4 + 34 + 1 = 666.

It is not a de Polignac number, because 34275754341 - 21 = 34275754339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34275754141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7535830 + ... + 7540376.

It is an arithmetic number, because the mean of its divisors is an integer number (1088196928).

Almost surely, 234275754341 is an apocalyptic number.

It is an amenable number.

34275754341 is a deficient number, since it is larger than the sum of its proper divisors (17957698203).

34275754341 is an equidigital number, since it uses as much as digits as its factorization.

34275754341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5080 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 34275754341 in words is "thirty-four billion, two hundred seventy-five million, seven hundred fifty-four thousand, three hundred forty-one".

Divisors: 1 3 9 27 67 81 201 243 463 603 1389 1809 4167 4547 5427 12501 13641 16281 31021 37503 40923 93063 112509 122769 279189 304649 368307 837567 913947 1104921 2105261 2512701 2741841 6315783 7538103 8225523 18947349 24676569 56842047 74029707 141052487 170526141 423157461 511578423 1269472383 3808417149 11425251447 34275754341