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34197995329 = 19297332
BaseRepresentation
bin11111110110010110…
…111111111101000001
310021021022120011100121
4133312112333331001
51030014141322304
623413233420241
72320313110201
oct376626777501
9107238504317
1034197995329
1113559971063
126764a0a681
1332c001b4c4
141925bbc401
15d5245e554
hex7f65bff41

34197995329 has 9 divisors (see below), whose sum is σ = 36096329763. Its totient is φ = 32394772152.

The previous prime is 34197995317. The next prime is 34197995333. The reversal of 34197995329 is 92359979143.

The square root of 34197995329 is 184927.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29795938225 + 4402057104 = 172615^2 + 66348^2 .

It is not a de Polignac number, because 34197995329 - 213 = 34197987137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34197995339) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3508747 + ... + 3518479.

It is an arithmetic number, because the mean of its divisors is an integer number (4010703307).

Almost surely, 234197995329 is an apocalyptic number.

34197995329 is the 184927-th square number.

34197995329 is the 92464-th centered octagonal number.

It is an amenable number.

34197995329 is a deficient number, since it is larger than the sum of its proper divisors (1898334434).

34197995329 is an frugal number, since it uses more digits than its factorization.

34197995329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19504 (or 9752 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 61.

The spelling of 34197995329 in words is "thirty-four billion, one hundred ninety-seven million, nine hundred ninety-five thousand, three hundred twenty-nine".

Divisors: 1 19 361 9733 184927 3513613 94731289 1799894491 34197995329