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34709200371341 = 123508328102727
BaseRepresentation
bin1111110010001010111011…
…00011101111111010001101
311112220011111212000010222022
413321011131203233322031
514022133420243340331
6201453104142255525
710211441225162036
oct771053543577215
9145804455003868
1034709200371341
11100720a88194a1
123a86a60b875a5
13164a0a980c212
1487dd11883a8d
15402cec8e767b
hex1f915d8efe8d

34709200371341 has 4 divisors (see below), whose sum is σ = 34709229709152. Its totient is φ = 34709171033532.

The previous prime is 34709200371323. The next prime is 34709200371343. The reversal of 34709200371341 is 14317300290743.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 34709200371341 - 214 = 34709200354957 is a prime.

It is a super-3 number, since 3×347092003713413 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34709200371292 and 34709200371301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34709200371343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12816281 + ... + 15286446.

It is an arithmetic number, because the mean of its divisors is an integer number (8677307427288).

Almost surely, 234709200371341 is an apocalyptic number.

It is an amenable number.

34709200371341 is a deficient number, since it is larger than the sum of its proper divisors (29337811).

34709200371341 is a wasteful number, since it uses less digits than its factorization.

34709200371341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29337810.

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 34709200371341 in words is "thirty-four trillion, seven hundred nine billion, two hundred million, three hundred seventy-one thousand, three hundred forty-one".

Divisors: 1 1235083 28102727 34709200371341