Search a number
-
+
303380 = 225711197
BaseRepresentation
bin1001010000100010100
3120102011022
41022010110
534202010
610300312
72402330
oct1120424
9512138
10303380
11197a30
12127698
13a811c
147c7c0
155ed55
hex4a114

303380 has 48 divisors (see below), whose sum is σ = 798336. Its totient is φ = 94080.

The previous prime is 303379. The next prime is 303389. The reversal of 303380 is 83303.

303380 = T315 + T316 + ... + T320.

It is a happy number.

303380 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 (303389) 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, 1442 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2303380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168).

303380 is an abundant number, since it is smaller than the sum of its proper divisors (494956).

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

303380 is a wasteful number, since it uses less digits than its factorization.

303380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 303380 is about 550.7994190266. The cubic root of 303380 is about 67.1937659561.

Adding to 303380 its reverse (83303), we get a palindrome (386683).

It can be divided in two parts, 3033 and 80, that added together give a palindrome (3113).

The spelling of 303380 in words is "three hundred three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 197 220 308 385 394 770 788 985 1379 1540 1970 2167 2758 3940 4334 5516 6895 8668 10835 13790 15169 21670 27580 30338 43340 60676 75845 151690 303380