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3220134320 = 24513231031307
BaseRepresentation
bin1011111111101111…
…0101100110110000
322022102020202212002
42333323311212300
523043323244240
61251310353132
7142540455464
oct27773654660
98272222762
103220134320
111402755637
1275a4bb7a8
133c419b130
1422794a4a4
1513ca78d15
hexbfef59b0

3220134320 has 160 divisors (see below), whose sum is σ = 8501455872. Its totient is φ = 1125374976.

The previous prime is 3220134319. The next prime is 3220134341. The reversal of 3220134320 is 234310223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3220134292 and 3220134301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2463107 + ... + 2464413.

Almost surely, 23220134320 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 3220134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250727936).

3220134320 is an abundant number, since it is smaller than the sum of its proper divisors (5281321552).

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

3220134320 is a wasteful number, since it uses less digits than its factorization.

3220134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3220134320 is about 56746.2273635878. The cubic root of 3220134320 is about 1476.6967844790.

Adding to 3220134320 its reverse (234310223), we get a palindrome (3454444543).

The spelling of 3220134320 in words is "three billion, two hundred twenty million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 103 104 115 130 184 206 208 230 260 299 368 412 460 515 520 598 824 920 1030 1040 1196 1307 1339 1495 1648 1840 2060 2369 2392 2614 2678 2990 4120 4738 4784 5228 5356 5980 6535 6695 8240 9476 10456 10712 11845 11960 13070 13390 16991 18952 20912 21424 23690 23920 26140 26780 30061 30797 33982 37904 47380 52280 53560 60122 61594 67964 84955 94760 104560 107120 120244 123188 134621 135928 150305 153985 169910 189520 240488 246376 269242 271856 300610 307970 339820 390793 480976 492752 538484 601220 615940 673105 679640 781586 1076968 1202440 1231880 1346210 1359280 1563172 1750073 1953965 2153936 2404880 2463760 2692420 3096283 3126344 3500146 3907930 5384840 6192566 6252688 7000292 7815860 8750365 10769680 12385132 14000584 15481415 15631720 17500730 24770264 28001168 30962830 31263440 35001460 40251679 49540528 61925660 70002920 80503358 123851320 140005840 161006716 201258395 247702640 322013432 402516790 644026864 805033580 1610067160 3220134320