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330530816 = 215711131
BaseRepresentation
bin10011101100111…
…000000000000000
3212000221201001002
4103230320000000
51134103441231
652444231132
711122315460
oct2354700000
9760851032
10330530816
1115a637770
129283b4a8
135362a585
1431c7dba0
151e0400cb
hex13b38000

330530816 has 128 divisors (see below), whose sum is σ = 830459520. Its totient is φ = 127795200.

The previous prime is 330530789. The next prime is 330530819. The reversal of 330530816 is 618035033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330530819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2523071 + ... + 2523201.

It is an arithmetic number, because the mean of its divisors is an integer number (6487965).

Almost surely, 2330530816 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 330530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415229760).

330530816 is an abundant number, since it is smaller than the sum of its proper divisors (499928704).

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

330530816 is an equidigital number, since it uses as much as digits as its factorization.

330530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 330530816 is about 18180.5064835939. The cubic root of 330530816 is about 691.4126460501.

Adding to 330530816 its reverse (618035033), we get a palindrome (948565849).

The spelling of 330530816 in words is "three hundred thirty million, five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 131 154 176 224 256 262 308 352 448 512 524 616 704 896 917 1024 1048 1232 1408 1441 1792 1834 2048 2096 2464 2816 2882 3584 3668 4096 4192 4928 5632 5764 7168 7336 8192 8384 9856 10087 11264 11528 14336 14672 16384 16768 19712 20174 22528 23056 28672 29344 32768 33536 39424 40348 45056 46112 57344 58688 67072 78848 80696 90112 92224 114688 117376 134144 157696 161392 180224 184448 229376 234752 268288 315392 322784 360448 368896 469504 536576 630784 645568 737792 939008 1073152 1261568 1291136 1475584 1878016 2146304 2523136 2582272 2951168 3756032 4292608 5164544 5902336 7512064 10329088 11804672 15024128 20658176 23609344 30048256 41316352 47218688 82632704 165265408 330530816