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34711300316 = 22721159272879
BaseRepresentation
bin100000010100111101…
…000110100011011100
310022121002102202102102
4200110331012203130
51032042043102231
623540211344232
72336115120200
oct402475064334
9108532382372
1034711300316
11137a2695760
1268888b2078
133372481574
141974038b00
15d82554acb
hex814f468dc

34711300316 has 72 divisors (see below), whose sum is σ = 78392966400. Its totient is φ = 13294616160.

The previous prime is 34711300313. The next prime is 34711300319. The reversal of 34711300316 is 61300311743.

It is an interprime number because it is at equal distance from previous prime (34711300313) and next prime (34711300319).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34711300313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9236 + ... + 263643.

It is an arithmetic number, because the mean of its divisors is an integer number (1088791200).

Almost surely, 234711300316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34711300316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39196483200).

34711300316 is an abundant number, since it is smaller than the sum of its proper divisors (43681666084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34711300316 is a wasteful number, since it uses less digits than its factorization.

34711300316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272967 (or 272958 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 34711300316 in words is "thirty-four billion, seven hundred eleven million, three hundred thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 59 77 98 118 154 196 236 308 413 539 649 826 1078 1298 1652 2156 2596 2891 4543 5782 9086 11564 18172 31801 63602 127204 272879 545758 1091516 1910153 3001669 3820306 6003338 7640612 12006676 13371071 16099861 21011683 26742142 32199722 42023366 53484284 64399444 84046732 112699027 147081781 177098471 225398054 294163562 354196942 450796108 588327124 708393884 788893189 1239689297 1577786378 2479378594 3155572756 4958757188 8677825079 17355650158 34711300316