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330130304 = 2776072
BaseRepresentation
bin10011101011010…
…110001110000000
3212000012100122022
4103223112032000
51134003132204
652431501012
711116030010
oct2353261600
9760170568
10330130304
1115a393869
1292687768
135351a19a
1431bb7c40
151deb15be
hex13ad6380

330130304 has 48 divisors (see below), whose sum is σ = 752876280. Its totient is φ = 141251328.

The previous prime is 330130289. The next prime is 330130313. The reversal of 330130304 is 403031033.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 543569 + ... + 544175.

Almost surely, 2330130304 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 330130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376438140).

330130304 is an abundant number, since it is smaller than the sum of its proper divisors (422745976).

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

330130304 is an frugal number, since it uses more digits than its factorization.

330130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 330130304 is about 18169.4882701743. The cubic root of 330130304 is about 691.1332661624.

Adding to 330130304 its reverse (403031033), we get a palindrome (733161337).

The spelling of 330130304 in words is "three hundred thirty million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 607 896 1214 2428 4249 4856 8498 9712 16996 19424 33992 38848 67984 77696 135968 271936 368449 543872 736898 1473796 2579143 2947592 5158286 5895184 10316572 11790368 20633144 23580736 41266288 47161472 82532576 165065152 330130304