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330840 = 23325919
BaseRepresentation
bin1010000110001011000
3121210211100
41100301120
541041330
611031400
72545356
oct1206130
9553740
10330840
11206624
1213b560
13b7783
14887d6
1568060
hex50c58

330840 has 48 divisors (see below), whose sum is σ = 1076400. Its totient is φ = 88128.

The previous prime is 330839. The next prime is 330853. The reversal of 330840 is 48033.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330840.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 100 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (22425).

2330840 is an apocalyptic number.

330840 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 330840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538200).

330840 is an abundant number, since it is smaller than the sum of its proper divisors (745560).

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

330840 is a wasteful number, since it uses less digits than its factorization.

330840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 330840 is about 575.1869261379. The cubic root of 330840 is about 69.1628165144.

Adding to 330840 its reverse (48033), we get a palindrome (378873).

The spelling of 330840 in words is "three hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 919 1838 2757 3676 4595 5514 7352 8271 9190 11028 13785 16542 18380 22056 27570 33084 36760 41355 55140 66168 82710 110280 165420 330840