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320340 = 223519281
BaseRepresentation
bin1001110001101010100
3121021102110
41032031110
540222330
610511020
72502636
oct1161524
9537373
10320340
111a9749
12135470
13b2a67
1484a56
1564db0
hex4e354

320340 has 48 divisors (see below), whose sum is σ = 947520. Its totient is φ = 80640.

The previous prime is 320339. The next prime is 320377. The reversal of 320340 is 43023.

320340 = T115 + T116 + ... + T150.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 320340.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (19740).

2320340 is an apocalyptic number.

320340 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 320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473760).

320340 is an abundant number, since it is smaller than the sum of its proper divisors (627180).

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

320340 is a wasteful number, since it uses less digits than its factorization.

320340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 320340 is about 565.9858655479. The cubic root of 320340 is about 68.4232539518.

Adding to 320340 its reverse (43023), we get a palindrome (363363).

The spelling of 320340 in words is "three hundred twenty thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 281 285 380 562 570 843 1124 1140 1405 1686 2810 3372 4215 5339 5620 8430 10678 16017 16860 21356 26695 32034 53390 64068 80085 106780 160170 320340