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3300130314 = 2321397347419
BaseRepresentation
bin1100010010110011…
…1111111000001010
322111222202222201200
43010230333320022
523224313132224
61303245125030
7144531434115
oct30454777012
98458688650
103300130314
111443923828
12781259776
13407929740
1423441157c
15144acb5c9
hexc4b3fe0a

3300130314 has 96 divisors (see below), whose sum is σ = 7820729280. Its totient is φ = 999668736.

The previous prime is 3300130247. The next prime is 3300130357. The reversal of 3300130314 is 4130310033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7875997 + ... + 7876415.

It is an arithmetic number, because the mean of its divisors is an integer number (81465930).

Almost surely, 23300130314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300130314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910364640).

3300130314 is an abundant number, since it is smaller than the sum of its proper divisors (4520598966).

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

3300130314 is a wasteful number, since it uses less digits than its factorization.

3300130314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3300130314 is about 57446.7606919659. The cubic root of 3300130314 is about 1488.8251498885.

Adding to 3300130314 its reverse (4130310033), we get a palindrome (7430440347).

The spelling of 3300130314 in words is "three billion, three hundred million, one hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 347 419 582 694 838 873 1041 1257 1261 1746 2082 2514 2522 3123 3771 3783 4511 5447 6246 7542 7566 9022 10894 11349 13533 16341 22698 27066 32682 33659 40599 40643 49023 67318 81198 81286 98046 100977 121929 145393 201954 243858 290786 302931 365787 436179 437567 528359 605862 731574 872358 875134 1056718 1308537 1312701 1585077 1890109 2617074 2625402 3170154 3780218 3938103 4755231 5670327 7876206 9510462 11340654 14103121 17010981 28206242 34021962 42309363 84618726 126928089 183340573 253856178 366681146 550021719 1100043438 1650065157 3300130314