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656616345 = 357111929921
BaseRepresentation
bin100111001000110…
…010101110011001
31200202112120021220
4213020302232121
52321043210340
6145053322253
722162101240
oct4710625631
91622476256
10656616345
11307708640
12163a96389
13a605c6a8
14632c3957
153c9a2ed0
hex27232b99

656616345 has 64 divisors (see below), whose sum is σ = 1378805760. Its totient is φ = 258508800.

The previous prime is 656616343. The next prime is 656616413. The reversal of 656616345 is 543616656.

656616345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 656616345 - 21 = 656616343 is a prime.

It is a super-2 number, since 2×6566163452 = 862290049042318050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 656616297 and 656616306.

It is not an unprimeable number, because it can be changed into a prime (656616343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6985 + ... + 36905.

It is an arithmetic number, because the mean of its divisors is an integer number (21543840).

Almost surely, 2656616345 is an apocalyptic number.

It is an amenable number.

656616345 is an abundant number, since it is smaller than the sum of its proper divisors (722189415).

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

656616345 is a wasteful number, since it uses less digits than its factorization.

656616345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29966.

The product of its digits is 388800, while the sum is 42.

The square root of 656616345 is about 25624.5262395229. The cubic root of 656616345 is about 869.1683359004.

The spelling of 656616345 in words is "six hundred fifty-six million, six hundred sixteen thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1045 1155 1463 1995 3135 4389 7315 21945 29921 89763 149605 209447 329131 448815 568499 628341 987393 1047235 1645655 1705497 2303917 2842495 3141705 3979493 4936965 6253489 6911751 8527485 11519585 11938479 18760467 19897465 31267445 34558755 43774423 59692395 93802335 131323269 218872115 656616345