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34289039929 = 232832972
BaseRepresentation
bin11111111011110010…
…010011101000111001
310021111122212201001211
4133323302103220321
51030210443234204
623430245043121
72322500013304
oct377362235071
9107448781054
1034289039929
11135a62a6231
12678b3b64a1
133305b47a51
141933d1bb3b
15d5a445804
hex7fbc93a39

34289039929 has 27 divisors (see below), whose sum is σ = 36659647983. Its totient is φ = 32069000832.

The previous prime is 34289039921. The next prime is 34289039951. The reversal of 34289039929 is 92993098243.

The square root of 34289039929 is 185173.

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., 15397087225 + 18891952704 = 124085^2 + 137448^2 .

It is not a de Polignac number, because 34289039929 - 23 = 34289039921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34289039921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 353495209 + ... + 353495305.

Almost surely, 234289039929 is an apocalyptic number.

34289039929 is the 185173-rd square number.

34289039929 is the 92587-th centered octagonal number.

It is an amenable number.

34289039929 is a deficient number, since it is larger than the sum of its proper divisors (2370608054).

34289039929 is an frugal number, since it uses more digits than its factorization.

34289039929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 58.

The spelling of 34289039929 in words is "thirty-four billion, two hundred eighty-nine million, thirty-nine thousand, nine hundred twenty-nine".

Divisors: 1 23 83 97 529 1909 2231 6889 8051 9409 43907 51313 158447 185173 216407 668233 780947 3644281 4258979 4977361 15369359 17961781 64818601 353495257 413120963 1490827823 34289039929