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34314041343 = 3233617137491
BaseRepresentation
bin11111111101010001…
…101011011111111111
310021120101220220120010
4133331101223133333
51030233343310333
623432540554303
72323222352601
oct377521533777
9107511826503
1034314041343
111360942215a
126797852993
13330b08c79a
141937389171
15d5c733563
hex7fd46b7ff

34314041343 has 16 divisors (see below), whose sum is σ = 47754821376. Its totient is φ = 21875208960.

The previous prime is 34314041341. The next prime is 34314041381.

34314041343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34314041343 - 21 = 34314041341 is a prime.

It is a super-2 number, since 2×343140413432 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34314041343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314041341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180828 + ... + 318318.

It is an arithmetic number, because the mean of its divisors is an integer number (2984676336).

Almost surely, 234314041343 is an apocalyptic number.

34314041343 is a deficient number, since it is larger than the sum of its proper divisors (13440780033).

34314041343 is a wasteful number, since it uses less digits than its factorization.

34314041343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141134.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 343140 and 41343, that added together give a palindrome (384483).

The spelling of 34314041343 in words is "thirty-four billion, three hundred fourteen million, forty-one thousand, three hundred forty-three".

Divisors: 1 3 23 69 3617 10851 83191 137491 249573 412473 3162293 9486879 497304947 1491914841 11438013781 34314041343