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3306272130 = 2325735314867
BaseRepresentation
bin1100010100010001…
…1011010110000010
322112102100000201100
43011010123112002
523232401202010
61304024515230
7144634564230
oct30504332602
98472300640
103306272130
111447339207
1278331bb16
13408c9a155
1423516d950
151453e12c0
hexc511b582

3306272130 has 96 divisors (see below), whose sum is σ = 9852845184. Its totient is φ = 753527808.

The previous prime is 3306272119. The next prime is 3306272131. The reversal of 3306272130 is 312726033.

3306272130 is a `hidden beast` number, since 3 + 3 + 0 + 627 + 2 + 1 + 30 = 666.

It is a super-2 number, since 2×33062721302 = 21862870795229473800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3306272094 and 3306272103.

It is not an unprimeable number, because it can be changed into a prime (3306272131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 214957 + ... + 229823.

It is an arithmetic number, because the mean of its divisors is an integer number (102633804).

Almost surely, 23306272130 is an apocalyptic number.

3306272130 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 3306272130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926422592).

3306272130 is an abundant number, since it is smaller than the sum of its proper divisors (6546573054).

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

3306272130 is a wasteful number, since it uses less digits than its factorization.

3306272130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15237 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3306272130 is about 57500.1924344606. The cubic root of 3306272130 is about 1489.7481865041.

Adding to 3306272130 its reverse (312726033), we get a palindrome (3618998163).

The spelling of 3306272130 in words is "three billion, three hundred six million, two hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 353 630 706 1059 1765 2118 2471 3177 3530 4942 5295 6354 7413 10590 12355 14826 14867 15885 22239 24710 29734 31770 37065 44478 44601 74130 74335 89202 104069 111195 133803 148670 208138 222390 223005 267606 312207 446010 520345 624414 669015 936621 1040690 1338030 1561035 1873242 3122070 4683105 5248051 9366210 10496102 15744153 26240255 31488306 36736357 47232459 52480510 73472714 78720765 94464918 110209071 157441530 183681785 220418142 236162295 330627213 367363570 472324590 551045355 661254426 1102090710 1653136065 3306272130