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330130320 = 243513195569
BaseRepresentation
bin10011101011010…
…110001110010000
3212000012100122220
4103223112032100
51134003132240
652431501040
711116030032
oct2353261620
9760170586
10330130320
1115a393883
1292687780
135351a1b0
1431bb7c52
151deb15d0
hex13ad6390

330130320 has 160 divisors (see below), whose sum is σ = 1160342400. Its totient is φ = 76972032.

The previous prime is 330130313. The next prime is 330130331. The reversal of 330130320 is 23031033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 330130320.

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, 56496 + ... + 62064.

It is an arithmetic number, because the mean of its divisors is an integer number (7252140).

Almost surely, 2330130320 is an apocalyptic number.

330130320 is a gapful number since it is divisible by the number (30) 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 330130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580171200).

330130320 is an abundant number, since it is smaller than the sum of its proper divisors (830212080).

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

330130320 is a wasteful number, since it uses less digits than its factorization.

330130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 330130320 is about 18169.4887104728. The cubic root of 330130320 is about 691.1332773278.

Adding to 330130320 its reverse (23031033), we get a palindrome (353161353).

The spelling of 330130320 in words is "three hundred thirty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5569 5928 7410 9880 11138 11856 14820 16707 19760 22276 27845 29640 33414 44552 55690 59280 66828 72397 83535 89104 105811 111380 133656 144794 167070 211622 217191 222760 267312 289588 317433 334140 361985 423244 434382 445520 529055 579176 634866 668280 723970 846488 868764 1058110 1085955 1158352 1269732 1336560 1375543 1447940 1587165 1692976 1737528 2116220 2171910 2539464 2751086 2895880 3174330 3475056 4126629 4232440 4343820 5078928 5502172 5791760 6348660 6877715 8253258 8464880 8687640 11004344 12697320 13755430 16506516 17375280 20633145 22008688 25394640 27510860 33013032 41266290 55021720 66026064 82532580 110043440 165065160 330130320