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34031763529 = 1844772
BaseRepresentation
bin11111101100011100…
…111000000001001001
310020211201202201012021
4133230130320001021
51024144112413104
623344534444441
72313224134321
oct375434700111
9106751681167
1034031763529
1113484052705
126719203721
1332947583aa
14190baaa281
15d42a75754
hex7ec738049

34031763529 has 3 divisors (see below), whose sum is σ = 34031948007. Its totient is φ = 34031579052.

The previous prime is 34031763511. The next prime is 34031763587. The reversal of 34031763529 is 92536713043.

It is a happy number.

The square root of 34031763529 is 184477.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 15874740025 + 18157023504 = 125995^2 + 134748^2 .

It is not a de Polignac number, because 34031763529 - 223 = 34023374921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34031763329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 92239 + ... + 276715.

It is an arithmetic number, because the mean of its divisors is an integer number (11343982669).

Almost surely, 234031763529 is an apocalyptic number.

34031763529 is the 184477-th square number.

34031763529 is the 92239-th centered octagonal number.

It is an amenable number.

34031763529 is a deficient number, since it is larger than the sum of its proper divisors (184478).

34031763529 is an frugal number, since it uses more digits than its factorization.

34031763529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368954 (or 184477 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 34031763529 in words is "thirty-four billion, thirty-one million, seven hundred sixty-three thousand, five hundred twenty-nine".

Divisors: 1 184477 34031763529