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330101730 = 2345728317
BaseRepresentation
bin10011101011001…
…111001111100010
3212000010220110000
4103223033033202
51134001223410
652431120430
711115550500
oct2353171742
9760126400
10330101730
1115a374352
1292673116
135350a18a
1431bab670
151dea7dc0
hex13acf3e2

330101730 has 120 divisors (see below), whose sum is σ = 1032646428. Its totient is φ = 75442752.

The previous prime is 330101689. The next prime is 330101803. The reversal of 330101730 is 37101033.

It can be written as a sum of positive squares in 2 ways, for example, as 308950929 + 21150801 = 17577^2 + 4599^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 35532 + ... + 43848.

Almost surely, 2330101730 is an apocalyptic number.

330101730 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 330101730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516323214).

330101730 is an abundant number, since it is smaller than the sum of its proper divisors (702544698).

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

330101730 is a wasteful number, since it uses less digits than its factorization.

330101730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 330101730 is about 18168.7019349209. The cubic root of 330101730 is about 691.1133255394.

Adding to 330101730 its reverse (37101033), we get a palindrome (367202763).

The spelling of 330101730 in words is "three hundred thirty million, one hundred one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 8317 13230 16634 19845 24951 39690 41585 49902 58219 74853 83170 116438 124755 149706 174657 224559 249510 291095 349314 374265 407533 449118 523971 582190 673677 748530 815066 873285 1047942 1122795 1222599 1347354 1571913 1746570 2037665 2245590 2445198 2619855 3143826 3368385 3667797 4075330 4715739 5239710 6112995 6736770 7335594 7859565 9431478 11003391 12225990 15719130 18338985 22006782 23578695 33010173 36677970 47157390 55016955 66020346 110033910 165050865 330101730