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3314444304 = 243175996781
BaseRepresentation
bin1100010110001110…
…0110100000010000
322112222201012211110
43011203212200100
523241444204204
61304520013320
7145064211633
oct30543464020
98488635743
103314444304
111450a10076
12786001240
1340a89ba62
14236299c1a
15145ea7889
hexc58e6810

3314444304 has 80 divisors (see below), whose sum is σ = 9082454400. Its totient is φ = 1037936640.

The previous prime is 3314444291. The next prime is 3314444311. The reversal of 3314444304 is 4034444133.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485394 + ... + 492174.

It is an arithmetic number, because the mean of its divisors is an integer number (113530680).

Almost surely, 23314444304 is an apocalyptic number.

3314444304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541227200).

3314444304 is an abundant number, since it is smaller than the sum of its proper divisors (5768010096).

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

3314444304 is a wasteful number, since it uses less digits than its factorization.

3314444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3314444304 is about 57571.2107220267. The cubic root of 3314444304 is about 1490.9745893367.

Adding to 3314444304 its reverse (4034444133), we get a palindrome (7348888437).

The spelling of 3314444304 in words is "three billion, three hundred fourteen million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 599 816 1198 1797 2396 3594 4792 6781 7188 9584 10183 13562 14376 20343 20366 27124 28752 30549 40686 40732 54248 61098 81372 81464 108496 115277 122196 162744 162928 230554 244392 325488 345831 461108 488784 691662 922216 1383324 1844432 2766648 4061819 5533296 8123638 12185457 16247276 24370914 32494552 48741828 64989104 69050923 97483656 138101846 194967312 207152769 276203692 414305538 552407384 828611076 1104814768 1657222152 3314444304