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330200320 = 285614229
BaseRepresentation
bin10011101011100…
…111010100000000
3212000022220200111
4103223213110000
51134012402240
652433201104
711116441102
oct2353472400
9760286614
10330200320
1115a43142a
1292700194
1353543008
1431bd5572
151dec71ea
hex13ae7500

330200320 has 72 divisors (see below), whose sum is σ = 804089160. Its totient is φ = 129884160.

The previous prime is 330200317. The next prime is 330200357. The reversal of 330200320 is 23002033.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 284394496 = 6768^2 + 16864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 330200320.

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 7 ways as a sum of consecutive naturals, for example, 75966 + ... + 80194.

It is an arithmetic number, because the mean of its divisors is an integer number (11167905).

Almost surely, 2330200320 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 330200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402044580).

330200320 is an abundant number, since it is smaller than the sum of its proper divisors (473888840).

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

330200320 is an equidigital number, since it uses as much as digits as its factorization.

330200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 330200320 is about 18171.4149146400. The cubic root of 330200320 is about 691.1821225943.

Adding to 330200320 its reverse (23002033), we get a palindrome (353202353).

The spelling of 330200320 in words is "three hundred thirty million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3904 4229 4880 7808 8458 9760 15616 16916 19520 21145 33832 39040 42290 67664 78080 84580 135328 169160 257969 270656 338320 515938 541312 676640 1031876 1082624 1289845 1353280 2063752 2579690 2706560 4127504 5159380 5413120 8255008 10318760 16510016 20637520 33020032 41275040 66040064 82550080 165100160 330200320