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4230386748 = 22327103349467
BaseRepresentation
bin1111110000100110…
…1001010000111100
3101220211012220122200
43330021221100330
532130434333443
61535435511500
7206555460030
oct37411512074
911824186580
104230386748
111880a411a5
129a08b8590
13525587a33
142c1ba61c0
1519b5d2dd3
hexfc26943c

4230386748 has 144 divisors (see below), whose sum is σ = 12401625600. Its totient is φ = 1190961792.

The previous prime is 4230386737. The next prime is 4230386753. The reversal of 4230386748 is 8476830324.

4230386748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9058411 + ... + 9058877.

It is an arithmetic number, because the mean of its divisors is an integer number (86122400).

Almost surely, 24230386748 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 4230386748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200812800).

4230386748 is an abundant number, since it is smaller than the sum of its proper divisors (8171238852).

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

4230386748 is a wasteful number, since it uses less digits than its factorization.

4230386748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4230386748 is about 65041.4233239095. The cubic root of 4230386748 is about 1617.3103196119.

The spelling of 4230386748 in words is "four billion, two hundred thirty million, three hundred eighty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 349 412 467 618 698 721 927 934 1047 1236 1396 1401 1442 1854 1868 2094 2163 2443 2802 2884 3141 3269 3708 4188 4203 4326 4886 5604 6282 6489 6538 7329 8406 8652 9772 9807 12564 12978 13076 14658 16812 19614 21987 25956 29316 29421 35947 39228 43974 48101 58842 71894 87948 96202 107841 117684 143788 144303 162983 192404 215682 251629 288606 323523 325966 336707 431364 432909 488949 503258 577212 647046 651932 673414 754887 865818 977898 1006516 1010121 1140881 1294092 1346828 1466847 1509774 1731636 1955796 2020242 2264661 2281762 2933694 3019548 3030363 3422643 4040484 4529322 4563524 5867388 6060726 6845286 9058644 10267929 12121452 13690572 16787249 20535858 33574498 41071716 50361747 67148996 100723494 117510743 151085241 201446988 235021486 302170482 352532229 470042972 604340964 705064458 1057596687 1410128916 2115193374 4230386748