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34295300677 = 11333897603
BaseRepresentation
bin11111111100001010…
…001100001001000101
310021112002122210012101
4133330022030021011
51030214044110202
623431031152101
72322604150231
oct377412141105
9107462583171
1034295300677
11135a9892000
126791515631
13330722a631
141934aab5c1
15d5ac80887
hex7fc28c245

34295300677 has 16 divisors (see below), whose sum is σ = 37738347840. Its totient is φ = 31164246960.

The previous prime is 34295300657. The next prime is 34295300687. The reversal of 34295300677 is 77600359243.

It is a de Polignac number, because none of the positive numbers 2k-34295300677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34295300657) 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 15 ways as a sum of consecutive naturals, for example, 4506958 + ... + 4514560.

It is an arithmetic number, because the mean of its divisors is an integer number (2358646740).

Almost surely, 234295300677 is an apocalyptic number.

It is an amenable number.

34295300677 is a deficient number, since it is larger than the sum of its proper divisors (3443047163).

34295300677 is an equidigital number, since it uses as much as digits as its factorization.

34295300677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 34295300677 in words is "thirty-four billion, two hundred ninety-five million, three hundred thousand, six hundred seventy-seven".

Divisors: 1 11 121 1331 3389 7603 37279 83633 410069 919963 4510759 10119593 25766567 283432237 3117754607 34295300677