Search a number
-
+
289634312 = 231125472
BaseRepresentation
bin10001010000110…
…111100000001000
3202011222221120202
4101100313200020
51043121244222
644423511332
710114564622
oct2120674010
9664887522
10289634312
11139544600
1280bb8548
134800b966
142a675c12
151a662892
hex11437808

289634312 has 36 divisors (see below), whose sum is σ = 598015215. Its totient is φ = 131411280.

The previous prime is 289634311. The next prime is 289634327. The reversal of 289634312 is 213436982.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 144817156 + 144817156 = 12034^2 + 12034^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12034.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289634311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 529223 + ... + 529769.

Almost surely, 2289634312 is an apocalyptic number.

289634312 is a gapful number since it is divisible by the number (22) 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 289634312

289634312 is an abundant number, since it is smaller than the sum of its proper divisors (308380903).

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

289634312 is an equidigital number, since it uses as much as digits as its factorization.

289634312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 560 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 289634312 is about 17018.6460095978. The cubic root of 289634312 is about 661.6322562104.

The spelling of 289634312 in words is "two hundred eighty-nine million, six hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 547 968 1094 2188 4376 6017 12034 24068 48136 66187 132374 264748 299209 529496 598418 1196836 2393672 3291299 6582598 13165196 26330392 36204289 72408578 144817156 289634312