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2308663296 = 211354639
BaseRepresentation
bin1000100110011011…
…0110100000000000
312221220011020200000
42021212312200000
514212004211141
61021030400000
7111132212532
oct21146664000
95856136600
102308663296
11a851a89a5
12545200000
132aa3b9474
1417c885852
15d7a335b6
hex899b6800

2308663296 has 144 divisors (see below), whose sum is σ = 6916291200. Its totient is φ = 769388544.

The previous prime is 2308663243. The next prime is 2308663297. The reversal of 2308663296 is 6923668032.

2308663296 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 6 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2308663297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495345 + ... + 499983.

It is an arithmetic number, because the mean of its divisors is an integer number (48029800).

Almost surely, 22308663296 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 2308663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458145600).

2308663296 is an abundant number, since it is smaller than the sum of its proper divisors (4607627904).

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

2308663296 is an frugal number, since it uses more digits than its factorization.

2308663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2308663296 is about 48048.5514453870. The cubic root of 2308663296 is about 1321.6613791511.

The spelling of 2308663296 in words is "two billion, three hundred eight million, six hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 4639 5184 6144 6912 7776 9216 9278 10368 13824 13917 15552 18432 18556 20736 27648 27834 31104 37112 41472 41751 55296 55668 62208 74224 82944 83502 111336 124416 125253 148448 165888 167004 222672 248832 250506 296896 334008 375759 445344 497664 501012 593792 668016 751518 890688 1002024 1127277 1187584 1336032 1503036 1781376 2004048 2254554 2375168 2672064 3006072 3562752 4008096 4509108 4750336 5344128 6012144 7125504 8016192 9018216 9500672 10688256 12024288 14251008 16032384 18036432 21376512 24048576 28502016 32064768 36072864 42753024 48097152 64129536 72145728 85506048 96194304 128259072 144291456 192388608 256518144 288582912 384777216 577165824 769554432 1154331648 2308663296