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343664453106 = 23413212552577
BaseRepresentation
bin1010000000000111111…
…11110110010111110010
31012212001120022001220000
411000003333312113302
521112311044444411
6421513253530430
733554216440032
oct5000377662762
91185046261800
10343664453106
11122824696187
1256730643a16
132653b13a100
14128c22798c2
158e15c39956
hex5003ff65f2

343664453106 has 60 divisors (see below), whose sum is σ = 833855203962. Its totient is φ = 105742900224.

The previous prime is 343664453059. The next prime is 343664453123. The reversal of 343664453106 is 601354466343.

343664453106 is a `hidden beast` number, since 3 + 4 + 36 + 64 + 453 + 106 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 245033910081 + 98630543025 = 495009^2 + 314055^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6248911 + ... + 6303666.

Almost surely, 2343664453106 is an apocalyptic number.

343664453106 is an abundant number, since it is smaller than the sum of its proper divisors (490190750856).

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

343664453106 is a wasteful number, since it uses less digits than its factorization.

343664453106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552617 (or 12552595 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 343664453106 in words is "three hundred forty-three billion, six hundred sixty-four million, four hundred fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 9126 13689 27378 12552577 25105154 37657731 75315462 112973193 163183501 225946386 326367002 338919579 489550503 677839158 979101006 1016758737 1468651509 2033517474 2121385513 2937303018 4242771026 4405954527 6364156539 8811909054 12728313078 13217863581 19092469617 26435727162 38184939234 57277408851 114554817702 171832226553 343664453106