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330780 = 223537149
BaseRepresentation
bin1010000110000011100
3121210202010
41100300130
541041110
611031220
72545242
oct1206034
9553663
10330780
1120657a
1213b510
13b7738
1488792
1568020
hex50c1c

330780 has 48 divisors (see below), whose sum is σ = 957600. Its totient is φ = 85248.

The previous prime is 330767. The next prime is 330787. The reversal of 330780 is 87033.

330780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2330780 is an apocalyptic number.

330780 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 330780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

330780 is an abundant number, since it is smaller than the sum of its proper divisors (626820).

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

330780 is a wasteful number, since it uses less digits than its factorization.

330780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 330780 is about 575.1347668156. The cubic root of 330780 is about 69.1586352185.

The spelling of 330780 in words is "three hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 149 185 222 298 370 444 447 555 596 740 745 894 1110 1490 1788 2220 2235 2980 4470 5513 8940 11026 16539 22052 27565 33078 55130 66156 82695 110260 165390 330780