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3340465230 = 2356779109193
BaseRepresentation
bin1100011100011011…
…0111010001001110
322121210200012211110
43013012313101032
523320124341410
61311245432450
7145531325454
oct30706672116
98553605743
103340465230
111464672a73
1279286b726
134130ac85b
142399109d4
151483e7720
hexc71b744e

3340465230 has 128 divisors (see below), whose sum is σ = 8358451200. Its totient is φ = 853991424.

The previous prime is 3340465199. The next prime is 3340465231. The reversal of 3340465230 is 325640433.

It is a super-2 number, since 2×33404652302 = 22317415905677905800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340465231) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17308014 + ... + 17308206.

It is an arithmetic number, because the mean of its divisors is an integer number (65300400).

Almost surely, 23340465230 is an apocalyptic number.

3340465230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340465230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179225600).

3340465230 is an abundant number, since it is smaller than the sum of its proper divisors (5017985970).

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

3340465230 is a wasteful number, since it uses less digits than its factorization.

3340465230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458.

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3340465230 is about 57796.7579540583. The cubic root of 3340465230 is about 1494.8661871336.

The spelling of 3340465230 in words is "three billion, three hundred forty million, four hundred sixty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 79 109 134 158 193 201 218 237 327 335 386 395 402 474 545 579 654 670 790 965 1005 1090 1158 1185 1635 1930 2010 2370 2895 3270 5293 5790 7303 8611 10586 12931 14606 15247 15879 17222 21037 21909 25833 25862 26465 30494 31758 36515 38793 42074 43055 43818 45741 51666 52930 63111 64655 73030 76235 77586 79395 86110 91482 105185 109545 126222 129165 129310 152470 158790 193965 210370 219090 228705 258330 315555 387930 457410 576937 631110 1021549 1153874 1409479 1661923 1730811 2043098 2818958 2884685 3064647 3323846 3461622 4228437 4985769 5107745 5769370 6129294 7047395 8309615 8456874 8654055 9971538 10215490 14094790 15323235 16619230 17308110 21142185 24928845 30646470 42284370 49857690 111348841 222697682 334046523 556744205 668093046 1113488410 1670232615 3340465230