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203320 = 235131723
BaseRepresentation
bin110001101000111000
3101022220101
4301220320
523001240
64205144
71504525
oct615070
9338811
10203320
11129837
12997b4
1371710
145414c
154039a
hex31a38

203320 has 64 divisors (see below), whose sum is σ = 544320. Its totient is φ = 67584.

The previous prime is 203317. The next prime is 203321. The reversal of 203320 is 23302.

203320 is nontrivially palindromic in base 3.

203320 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 (10).

203320 is a Rhonda number in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 203297 and 203306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8829 + ... + 8851.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2203320 is an apocalyptic number.

203320 is a gapful number since it is divisible by the number (20) 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 203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

203320 is an abundant number, since it is smaller than the sum of its proper divisors (341000).

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

203320 is a wasteful number, since it uses less digits than its factorization.

203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 203320 is about 450.9101906145. The cubic root of 203320 is about 58.8021718543.

Adding to 203320 its reverse (23302), we get a palindrome (226622).

The spelling of 203320 in words is "two hundred three thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 13 17 20 23 26 34 40 46 52 65 68 85 92 104 115 130 136 170 184 221 230 260 299 340 391 442 460 520 598 680 782 884 920 1105 1196 1495 1564 1768 1955 2210 2392 2990 3128 3910 4420 5083 5980 7820 8840 10166 11960 15640 20332 25415 40664 50830 101660 203320