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3680339112 = 2333172343577
BaseRepresentation
bin1101101101011101…
…1000010010101000
3100111111012121011000
43123113120102220
530014131322422
61405110235000
7160126236432
oct33327302250
910444177130
103680339112
11161950127a
12868655a60
1346862b968
1426cb03652
15168180cac
hexdb5d84a8

3680339112 has 128 divisors (see below), whose sum is σ = 11295417600. Its totient is φ = 1104390144.

The previous prime is 3680339107. The next prime is 3680339123. The reversal of 3680339112 is 2119330863.

3680339112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 62668 + ... + 106244.

It is an arithmetic number, because the mean of its divisors is an integer number (88245450).

Almost surely, 23680339112 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 3680339112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647708800).

3680339112 is an abundant number, since it is smaller than the sum of its proper divisors (7615078488).

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

3680339112 is a wasteful number, since it uses less digits than its factorization.

3680339112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43632 (or 43622 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3680339112 is about 60665.7985359131. The cubic root of 3680339112 is about 1543.9359475249.

Adding to 3680339112 its reverse (2119330863), we get a palindrome (5799669975).

The spelling of 3680339112 in words is "three billion, six hundred eighty million, three hundred thirty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 92 102 108 136 138 153 184 204 207 216 276 306 391 408 414 459 552 612 621 782 828 918 1173 1224 1242 1564 1656 1836 2346 2484 3128 3519 3672 4692 4968 7038 9384 10557 14076 21114 28152 42228 43577 84456 87154 130731 174308 261462 348616 392193 522924 740809 784386 1002271 1045848 1176579 1481618 1568772 2004542 2222427 2353158 2963236 3006813 3137544 4009084 4444854 4706316 5926472 6013626 6667281 8018168 8889708 9020439 9412632 12027252 13334562 17038607 17779416 18040878 20001843 24054504 26669124 27061317 34077214 36081756 40003686 51115821 53338248 54122634 68154428 72163512 80007372 102231642 108245268 136308856 153347463 160014744 204463284 216490536 306694926 408926568 460042389 613389852 920084778 1226779704 1840169556 3680339112