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34004313321 = 31126319312029
BaseRepresentation
bin11111101010110100…
…001010010011101001
310020202211010002120220
4133222310022103221
51024120101011241
623342114240253
72312441615466
oct375264122351
9106684102526
1034004313321
111346a603990
12670bb86089
13328bb66b74
1419081a266d
15d40452166
hex7ead0a4e9

34004313321 has 32 divisors (see below), whose sum is σ = 49699077120. Its totient is φ = 20509569600.

The previous prime is 34004313311. The next prime is 34004313383. The reversal of 34004313321 is 12331340043.

It is not a de Polignac number, because 34004313321 - 25 = 34004313289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34004313291 and 34004313300.

It is not an unprimeable number, because it can be changed into a prime (34004313311) 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 31 ways as a sum of consecutive naturals, for example, 16758135 + ... + 16760163.

It is an arithmetic number, because the mean of its divisors is an integer number (1553096160).

Almost surely, 234004313321 is an apocalyptic number.

It is an amenable number.

34004313321 is a deficient number, since it is larger than the sum of its proper divisors (15694763799).

34004313321 is a wasteful number, since it uses less digits than its factorization.

34004313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34004313321 its reverse (12331340043), we get a palindrome (46335653364).

The spelling of 34004313321 in words is "thirty-four billion, four million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 11 33 263 789 1931 2029 2893 5793 6087 8679 21241 22319 63723 66957 507853 533627 1523559 1600881 3917999 5586383 5869897 11753997 16759149 17609691 43097989 129293967 1030433737 3091301211 11334771107 34004313321