Search a number
-
+
3301050120 = 2335197731873
BaseRepresentation
bin1100010011000010…
…0000011100001000
322112001111201110120
43010300200130020
523230032100440
61303320543240
7144542314554
oct30460403410
98461451416
103301050120
1114443a18a5
12781621b20
13407b8c2c4
142345b0864
15144c0ddd0
hexc4c20708

3301050120 has 128 divisors (see below), whose sum is σ = 10443427200. Its totient is φ = 832425984.

The previous prime is 3301050079. The next prime is 3301050131. The reversal of 3301050120 is 210501033.

It is a happy number.

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 3301050120.

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, 1761504 + ... + 1763376.

It is an arithmetic number, because the mean of its divisors is an integer number (81589275).

Almost surely, 23301050120 is an apocalyptic number.

3301050120 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 3301050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221713600).

3301050120 is an abundant number, since it is smaller than the sum of its proper divisors (7142377080).

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

3301050120 is a wasteful number, since it uses less digits than its factorization.

3301050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3301050120 is about 57454.7658597614. The cubic root of 3301050120 is about 1488.9634578710.

Adding to 3301050120 its reverse (210501033), we get a palindrome (3511551153).

The spelling of 3301050120 in words is "three billion, three hundred one million, fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 773 1140 1546 1873 2280 2319 3092 3746 3865 4638 5619 6184 7492 7730 9276 9365 11238 11595 14687 14984 15460 18552 18730 22476 23190 28095 29374 30920 35587 37460 44061 44952 46380 56190 58748 71174 73435 74920 88122 92760 106761 112380 117496 142348 146870 176244 177935 213522 220305 224760 284696 293740 352488 355870 427044 440610 533805 587480 711740 854088 881220 1067610 1423480 1447829 1762440 2135220 2895658 4270440 4343487 5791316 7239145 8686974 11582632 14478290 17373948 21717435 27508751 28956580 34747896 43434870 55017502 57913160 82526253 86869740 110035004 137543755 165052506 173739480 220070008 275087510 330105012 412631265 550175020 660210024 825262530 1100350040 1650525060 3301050120