Search a number
-
+
3342660352 = 2897227593
BaseRepresentation
bin1100011100111100…
…1111001100000000
322121221210201222021
43013033033030000
523321210112402
61311404451224
7145556100313
oct30717171400
98557721867
103342660352
111465932219
12793549b14
1341369aa45
14239d2297a
151486ccd37
hexc73cf300

3342660352 has 72 divisors (see below), whose sum is σ = 6782163696. Its totient is φ = 1644036096.

The previous prime is 3342660337. The next prime is 3342660353. The reversal of 3342660352 is 2530662433.

It is a super-2 number, since 2×33426603522 = 22346756457665527808, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3342660353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5636568 + ... + 5637160.

It is an arithmetic number, because the mean of its divisors is an integer number (94196718).

Almost surely, 23342660352 is an apocalyptic number.

3342660352 is a gapful number since it is divisible by the number (32) 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 3342660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391081848).

3342660352 is an abundant number, since it is smaller than the sum of its proper divisors (3439503344).

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

3342660352 is an equidigital number, since it uses as much as digits as its factorization.

3342660352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The square root of 3342660352 is about 57815.7448451544. The cubic root of 3342660352 is about 1495.1935562192.

The spelling of 3342660352 in words is "three billion, three hundred forty-two million, six hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 227 256 388 454 593 776 908 1186 1552 1816 2372 3104 3632 4744 6208 7264 9488 12416 14528 18976 22019 24832 29056 37952 44038 57521 58112 75904 88076 115042 134611 151808 176152 230084 269222 352304 460168 538444 704608 920336 1076888 1409216 1840672 2153776 2818432 3681344 4307552 5636864 7362688 8615104 13057267 14725376 17230208 26114534 34460416 52229068 104458136 208916272 417832544 835665088 1671330176 3342660352