Search a number
-
+
3385130848 = 251121751427
BaseRepresentation
bin1100100111000100…
…1111111101100000
322201220201110112121
43021301033331200
523413043141343
61315523034024
7146613065101
oct31161177540
98656643477
103385130848
1114878aaa00
127a580b914
1341c41ac08
1424181a3a8
1514c2bbaed
hexc9c4ff60

3385130848 has 72 divisors (see below), whose sum is σ = 7756473816. Its totient is φ = 1448156160.

The previous prime is 3385130843. The next prime is 3385130893. The reversal of 3385130848 is 8480315833.

It is a super-2 number, since 2×33851308482 = 22918221716162398208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385130843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40111 + ... + 91537.

It is an arithmetic number, because the mean of its divisors is an integer number (107728803).

Almost surely, 23385130848 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 3385130848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878236908).

3385130848 is an abundant number, since it is smaller than the sum of its proper divisors (4371342968).

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

3385130848 is a wasteful number, since it uses less digits than its factorization.

3385130848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51476 (or 51457 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 3385130848 is about 58181.8773158790. The cubic root of 3385130848 is about 1501.4993671365.

The spelling of 3385130848 in words is "three billion, three hundred eighty-five million, one hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 121 136 176 187 242 272 352 374 484 544 748 968 1496 1936 2057 2992 3872 4114 5984 8228 16456 32912 51427 65824 102854 205708 411416 565697 822832 874259 1131394 1645664 1748518 2262788 3497036 4525576 6222667 6994072 9051152 9616849 12445334 13988144 18102304 19233698 24890668 27976288 38467396 49781336 76934792 99562672 105785339 153869584 199125344 211570678 307739168 423141356 846282712 1692565424 3385130848