Search a number
-
+
3310514220 = 2235136763347
BaseRepresentation
bin1100010101010010…
…0111000000101100
322112201022112202210
43011110213000230
523234442423340
61304255450420
7145015622646
oct30524470054
98481275683
103310514220
111449776372
12784826a10
13409b23c70
14235955896
1514597d180
hexc552702c

3310514220 has 96 divisors (see below), whose sum is σ = 10131625728. Its totient is φ = 802720512.

The previous prime is 3310514213. The next prime is 3310514237. The reversal of 3310514220 is 224150133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20587 + ... + 83933.

It is an arithmetic number, because the mean of its divisors is an integer number (105537768).

Almost surely, 23310514220 is an apocalyptic number.

3310514220 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 3310514220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065812864).

3310514220 is an abundant number, since it is smaller than the sum of its proper divisors (6821111508).

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

3310514220 is a wasteful number, since it uses less digits than its factorization.

3310514220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63439 (or 63437 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3310514220 is about 57537.0682256230. The cubic root of 3310514220 is about 1490.3850513041.

Adding to 3310514220 its reverse (224150133), we get a palindrome (3534664353).

The spelling of 3310514220 in words is "three billion, three hundred ten million, five hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1340 1742 2010 2613 3484 4020 4355 5226 8710 10452 13065 17420 26130 52260 63347 126694 190041 253388 316735 380082 633470 760164 823511 950205 1266940 1647022 1900410 2470533 3294044 3800820 4117555 4244249 4941066 8235110 8488498 9882132 12352665 12732747 16470220 16976996 21221245 24705330 25465494 42442490 49410660 50930988 55175237 63663735 84884980 110350474 127327470 165525711 220700948 254654940 275876185 331051422 551752370 662102844 827628555 1103504740 1655257110 3310514220