Search a number
-
+
302280150340 = 225722915836719
BaseRepresentation
bin1000110011000010100…
…11010000110101000100
31001220020102102122222201
410121201103100311010
514423032204302330
6350510544404244
730560532612100
oct4314123206504
91056212378881
10302280150340
1110721829aa73
124a701016684
1322674343bac
14108b7cc4900
157ce295deca
hex46614d0d44

302280150340 has 144 divisors (see below), whose sum is σ = 764486553600. Its totient is φ = 99987057408.

The previous prime is 302280150329. The next prime is 302280150371. The reversal of 302280150340 is 43051082203.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 302280150299 and 302280150308.

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, 44985501 + ... + 44992219.

It is an arithmetic number, because the mean of its divisors is an integer number (5308934400).

Almost surely, 2302280150340 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 302280150340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382243276800).

302280150340 is an abundant number, since it is smaller than the sum of its proper divisors (462206403260).

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

302280150340 is a wasteful number, since it uses less digits than its factorization.

302280150340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 302280150340 in words is "three hundred two billion, two hundred eighty million, one hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 1583 2030 2842 3166 4060 5684 6332 6719 7105 7915 11081 13438 14210 15830 22162 26876 28420 31660 33595 44324 45907 47033 55405 67190 77567 91814 94066 110810 134380 155134 183628 188132 194851 221620 229535 235165 310268 321349 329231 387835 389702 459070 470330 642698 658462 775670 779404 918140 940660 974255 1285396 1316924 1363957 1551340 1606745 1646155 1948510 2249443 2727914 3213490 3292310 3897020 4498886 5455828 6426980 6584620 6819785 8997772 9547699 10636177 11247215 13639570 19095398 21272354 22494430 27279140 38190796 42544708 44988860 47738495 53180885 74453239 95476990 106361770 148906478 190953980 212723540 297812956 308449133 372266195 521172673 616898266 744532390 1042345346 1233796532 1489064780 1542245665 2084690692 2159143931 2605863365 3084491330 4318287862 5211726730 6168982660 8636575724 10423453460 10795719655 15114007517 21591439310 30228015034 43182878620 60456030068 75570037585 151140075170 302280150340