Search a number
-
+
330130112 = 2613463857
BaseRepresentation
bin10011101011010…
…110001011000000
3212000012100101012
4103223112023000
51134003130422
652431500052
711116026314
oct2353261300
9760170335
10330130112
1115a393704
1292687628
135351a080
1431bb7b44
151deb14e2
hex13ad62c0

330130112 has 56 divisors (see below), whose sum is σ = 707843136. Its totient is φ = 151861248.

The previous prime is 330130043. The next prime is 330130117. The reversal of 330130112 is 211031033.

It is not an unprimeable number, because it can be changed into a prime (330130117) 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 7 ways as a sum of consecutive naturals, for example, 384788 + ... + 385644.

It is an arithmetic number, because the mean of its divisors is an integer number (12640056).

Almost surely, 2330130112 is an apocalyptic number.

330130112 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 330130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353921568).

330130112 is an abundant number, since it is smaller than the sum of its proper divisors (377713024).

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

330130112 is a wasteful number, since it uses less digits than its factorization.

330130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 330130112 is about 18169.4829865905. The cubic root of 330130112 is about 691.1331321773.

Adding to 330130112 its reverse (211031033), we get a palindrome (541161145).

The spelling of 330130112 in words is "three hundred thirty million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 463 832 857 926 1714 1852 3428 3704 6019 6856 7408 11141 12038 13712 14816 22282 24076 27424 29632 44564 48152 54848 89128 96304 178256 192608 356512 385216 396791 713024 793582 1587164 3174328 5158283 6348656 10316566 12697312 20633132 25394624 41266264 82532528 165065056 330130112