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330660 = 2232511167
BaseRepresentation
bin1010000101110100100
3121210120200
41100232210
541040120
611030500
72545011
oct1205644
9553520
10330660
11206480
1213b430
13b7675
1488708
1567e90
hex50ba4

330660 has 72 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 79680.

The previous prime is 330653. The next prime is 330661. The reversal of 330660 is 66033.

330660 = T81 + T82 + ... + T135.

330660 is a `hidden beast` number, since 3 + 3 + 0 + 660 = 666.

330660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330660.

It is not an unprimeable number, because it can be changed into a prime (330661) by changing a digit.

330660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1897 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2330660 is an apocalyptic number.

330660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

330660 is an abundant number, since it is smaller than the sum of its proper divisors (770076).

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

330660 is a wasteful number, since it uses less digits than its factorization.

330660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 330660 is about 575.0304339772. The cubic root of 330660 is about 69.1502711094.

Adding to 330660 its reverse (66033), we get a palindrome (396693).

It can be divided in two parts, 330 and 660, that added together give a triangular number (990 = T44).

The spelling of 330660 in words is "three hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 167 180 198 220 330 334 396 495 501 660 668 835 990 1002 1503 1670 1837 1980 2004 2505 3006 3340 3674 5010 5511 6012 7348 7515 9185 10020 11022 15030 16533 18370 22044 27555 30060 33066 36740 55110 66132 82665 110220 165330 330660