Search a number
-
+
280314 = 23329179
BaseRepresentation
bin1000100011011111010
3112020112000
41010123322
532432224
610001430
72245146
oct1043372
9466460
10280314
11181671
12116276
139a788
1474226
15580c9
hex446fa

280314 has 32 divisors (see below), whose sum is σ = 648000. Its totient is φ = 89712.

The previous prime is 280303. The next prime is 280321. The reversal of 280314 is 413082.

It is a happy number.

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 280314.

It is an unprimeable number.

280314 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 15 ways as a sum of consecutive naturals, for example, 1477 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2280314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

280314 is an abundant number, since it is smaller than the sum of its proper divisors (367686).

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

280314 is a wasteful number, since it uses less digits than its factorization.

280314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 280314 is about 529.4468811883. The cubic root of 280314 is about 65.4457721827.

Adding to 280314 its reverse (413082), we get a palindrome (693396).

The spelling of 280314 in words is "two hundred eighty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 179 261 358 522 537 783 1074 1566 1611 3222 4833 5191 9666 10382 15573 31146 46719 93438 140157 280314