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4340544768 = 28327269131
BaseRepresentation
bin1000000101011011…
…10111010100000000
3102012111111112001100
410002231313110000
532342134413033
61554412534400
7212364010320
oct40255672400
912174445040
104340544768
11192814058a
12a11781400
13542346cb1
142d267d280
151a60e2513
hex102b77500

4340544768 has 108 divisors (see below), whose sum is σ = 14302751008. Its totient is φ = 1240151040.

The previous prime is 4340544739. The next prime is 4340544781. The reversal of 4340544768 is 8674450434.

4340544768 is a `hidden beast` number, since 4 + 3 + 40 + 544 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118438 + ... + 150693.

Almost surely, 24340544768 is an apocalyptic number.

4340544768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4340544768 is an abundant number, since it is smaller than the sum of its proper divisors (9962206240).

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

4340544768 is a wasteful number, since it uses less digits than its factorization.

4340544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269160 (or 269143 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 4340544768 is about 65882.8108689968. The cubic root of 4340544768 is about 1631.2282972054.

The spelling of 4340544768 in words is "four billion, three hundred forty million, five hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 269131 538262 807393 1076524 1614786 1883917 2153048 2422179 3229572 3767834 4306096 4844358 5651751 6459144 7535668 8612192 9688716 11303502 12918288 15071336 16955253 17224384 19377432 22607004 25836576 30142672 33910506 34448768 38754864 45214008 51673152 60285344 67821012 68897536 77509728 90428016 103346304 120570688 135642024 155019456 180856032 206692608 241141376 271284048 310038912 361712064 482282752 542568096 620077824 723424128 1085136192 1446848256 2170272384 4340544768