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9715344340 = 22513615931033
BaseRepresentation
bin10010000110001010…
…00110001111010100
3221002002010121222011
421003011012033110
5124344112004330
64244013314004
7462520031032
oct110305061724
927062117864
109715344340
114136070aa9
121a71795904
13bbaa32980
14682425552
153bcdd082a
hex2431463d4

9715344340 has 96 divisors (see below), whose sum is σ = 22391129376. Its totient is φ = 3519037440.

The previous prime is 9715344337. The next prime is 9715344341. The reversal of 9715344340 is 434435179.

It can be written as a sum of positive squares in 16 ways, for example, as 3131969296 + 6583375044 = 55964^2 + 81138^2 .

It is a super-3 number, since 3×97153443403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9715344293 and 9715344302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9715344341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9404464 + ... + 9405496.

It is an arithmetic number, because the mean of its divisors is an integer number (233240931).

Almost surely, 29715344340 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 9715344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195564688).

9715344340 is an abundant number, since it is smaller than the sum of its proper divisors (12675785036).

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

9715344340 is a wasteful number, since it uses less digits than its factorization.

9715344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 9715344340 is about 98566.4463192216. The cubic root of 9715344340 is about 2133.7951940008.

The spelling of 9715344340 in words is "nine billion, seven hundred fifteen million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 593 610 793 1033 1186 1220 1586 2066 2372 2965 3172 3965 4132 5165 5930 7709 7930 10330 11860 13429 15418 15860 20660 26858 30836 36173 38545 53716 63013 67145 72346 77090 126026 134290 144692 154180 180865 252052 268580 315065 361730 470249 612569 630130 723460 819169 940498 1225138 1260260 1638338 1880996 2351245 2450276 3062845 3276676 4095845 4702490 6125690 7963397 8191690 9404980 12251380 15926794 16383380 31853588 37366709 39816985 74733418 79633970 149466836 159267940 186833545 373667090 485767217 747334180 971534434 1943068868 2428836085 4857672170 9715344340