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330816 = 2631723
BaseRepresentation
bin1010000110001000000
3121210210110
41100301000
541041231
611031320
72545323
oct1206100
9553713
10330816
11206602
1213b540
13b7765
14887ba
1568046
hex50c40

330816 has 28 divisors (see below), whose sum is σ = 875792. Its totient is φ = 110208.

The previous prime is 330793. The next prime is 330821. The reversal of 330816 is 618033.

330816 is nontrivially palindromic in base 11.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 330792 and 330801.

It is an unprimeable number.

330816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 670 + ... + 1053.

2330816 is an apocalyptic number.

It is an amenable number.

330816 is an abundant number, since it is smaller than the sum of its proper divisors (544976).

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

330816 is a wasteful number, since it uses less digits than its factorization.

330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 330816 is about 575.1660629766. The cubic root of 330816 is about 69.1611440567.

Adding to 330816 its reverse (618033), we get a palindrome (948849).

The spelling of 330816 in words is "three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1723 3446 5169 6892 10338 13784 20676 27568 41352 55136 82704 110272 165408 330816