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3340231314 = 237237243193
BaseRepresentation
bin1100011100010111…
…1110001010010010
322121210020022221220
43013011332022102
523320044400224
61311240425510
7145526332500
oct30705761222
98553208856
103340231314
111464523252
12792778296
1341302a244
1423988d670
1514839d279
hexc717e292

3340231314 has 144 divisors (see below), whose sum is σ = 8214943968. Its totient is φ = 902264832.

The previous prime is 3340231309. The next prime is 3340231399. The reversal of 3340231314 is 4131320433.

3340231314 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33402313142 = 22314290462052333192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17306802 + ... + 17306994.

It is an arithmetic number, because the mean of its divisors is an integer number (57048222).

Almost surely, 23340231314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340231314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107471984).

3340231314 is an abundant number, since it is smaller than the sum of its proper divisors (4874712654).

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

3340231314 is a wasteful number, since it uses less digits than its factorization.

3340231314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3340231314 is about 57794.7343103158. The cubic root of 3340231314 is about 1494.8312936624.

Adding to 3340231314 its reverse (4131320433), we get a palindrome (7471551747).

The spelling of 3340231314 in words is "three billion, three hundred forty million, two hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 43 49 74 86 98 111 129 147 193 222 258 259 294 301 386 518 579 602 777 903 1158 1351 1369 1554 1591 1806 1813 2107 2702 2738 3182 3626 4053 4107 4214 4773 5439 6321 7141 8106 8214 8299 9457 9546 9583 10878 11137 12642 14282 16598 18914 19166 21423 22274 24897 28371 28749 33411 42846 49794 49987 56742 57498 58093 58867 66822 67081 77959 99974 116186 117734 134162 149961 155918 174279 176601 201243 233877 264217 299922 307063 348558 349909 353202 402486 406651 412069 467754 528434 614126 699818 792651 813302 824138 921189 1049727 1219953 1236207 1585302 1842378 1849519 2099454 2149441 2439906 2472414 2884483 3699038 4298882 5548557 5768966 6448323 8653449 11097114 11361331 12896646 12946633 15046087 17306898 22722662 25893266 30092174 34083993 38839899 45138261 68167986 77679798 79529317 90276522 159058634 238587951 477175902 556705219 1113410438 1670115657 3340231314