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803430 = 232579113
BaseRepresentation
bin11000100001001100110
31111211002200
43010021212
5201202210
625115330
76554235
oct3041146
91454080
10803430
114a96a1
12328b46
13221904
1416cb1c
1510d0c0
hexc4266

803430 has 48 divisors (see below), whose sum is σ = 2134080. Its totient is φ = 209664.

The previous prime is 803417. The next prime is 803441. The reversal of 803430 is 34308.

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

It is a congruent number.

It is an unprimeable number.

803430 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, 7054 + ... + 7166.

It is an arithmetic number, because the mean of its divisors is an integer number (44460).

2803430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067040).

803430 is an abundant number, since it is smaller than the sum of its proper divisors (1330650).

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

803430 is a wasteful number, since it uses less digits than its factorization.

803430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

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

The square root of 803430 is about 896.3425684413. The cubic root of 803430 is about 92.9642595929.

Adding to 803430 its reverse (34308), we get a palindrome (837738).

The spelling of 803430 in words is "eight hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 113 158 226 237 339 395 474 565 678 711 790 1017 1130 1185 1422 1695 2034 2370 3390 3555 5085 7110 8927 10170 17854 26781 44635 53562 80343 89270 133905 160686 267810 401715 803430