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330084216 = 233271159539
BaseRepresentation
bin10011101011001…
…010111101111000
3212000010000102100
4103223022331320
51134000143331
652430503400
711115445440
oct2353127570
9760100370
10330084216
1115a362180
1292664b60
1353502207
1431ba5120
151dea2ae6
hex13acaf78

330084216 has 96 divisors (see below), whose sum is σ = 1114588800. Its totient is φ = 85734720.

The previous prime is 330084191. The next prime is 330084221. The reversal of 330084216 is 612480033.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 330084216.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24226 + ... + 35313.

It is an arithmetic number, because the mean of its divisors is an integer number (11610300).

Almost surely, 2330084216 is an apocalyptic number.

330084216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

330084216 is an abundant number, since it is smaller than the sum of its proper divisors (784504584).

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

330084216 is a wasteful number, since it uses less digits than its factorization.

330084216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59569 (or 59562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 330084216 is about 18168.2199458285. The cubic root of 330084216 is about 691.1011026682.

The spelling of 330084216 in words is "three hundred thirty million, eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 59539 119078 178617 238156 357234 416773 476312 535851 654929 714468 833546 1071702 1250319 1309858 1428936 1667092 1964787 2143404 2500638 2619716 3334184 3750957 3929574 4286808 4584503 5001276 5239432 5894361 7501914 7859148 9169006 10002552 11788722 13753509 15003828 15718296 18338012 23577444 27507018 30007656 36676024 41260527 47154888 55014036 82521054 110028072 165042108 330084216