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330081216 = 26310316691
BaseRepresentation
bin10011101011001…
…010001111000000
3212000002212022020
4103223022033000
51134000044331
652430441440
711115433623
oct2353121700
9760085266
10330081216
1115a35a9a3
1292663280
1353500a3a
1431ba3dba
151dea1c96
hex13aca3c0

330081216 has 56 divisors (see below), whose sum is σ = 881871744. Its totient is φ = 108952320.

The previous prime is 330081173. The next prime is 330081217. The reversal of 330081216 is 612180033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330081217) 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, 11431 + ... + 28121.

Almost surely, 2330081216 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 330081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440935872).

330081216 is an abundant number, since it is smaller than the sum of its proper divisors (551790528).

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

330081216 is a wasteful number, since it uses less digits than its factorization.

330081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16809 (or 16799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 330081216 is about 18168.1373838927. The cubic root of 330081216 is about 691.0990089504.

The spelling of 330081216 in words is "three hundred thirty million, eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 16691 19776 33382 50073 66764 100146 133528 200292 267056 400584 534112 801168 1068224 1602336 1719173 3204672 3438346 5157519 6876692 10315038 13753384 20630076 27506768 41260152 55013536 82520304 110027072 165040608 330081216