Search a number
-
+
296430 = 23541241
BaseRepresentation
bin1001000010111101110
3120001121220
41020113232
533441210
610204210
72343141
oct1102756
9501556
10296430
11192792
12123666
13a4c04
147a058
155cc70
hex485ee

296430 has 32 divisors (see below), whose sum is σ = 731808. Its totient is φ = 76800.

The previous prime is 296377. The next prime is 296437. The reversal of 296430 is 34692.

296430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 92 + 47 + 67 + 33 + 0 .

It is a Curzon number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 296430.

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 296430.

It is not an unprimeable number, because it can be changed into a prime (296437) by changing a digit.

296430 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, 1110 + ... + 1350.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2296430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904).

296430 is an abundant number, since it is smaller than the sum of its proper divisors (435378).

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

296430 is a wasteful number, since it uses less digits than its factorization.

296430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 296430 is about 544.4538547940. The cubic root of 296430 is about 66.6766929365.

The spelling of 296430 in words is "two hundred ninety-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 241 246 410 482 615 723 1205 1230 1446 2410 3615 7230 9881 19762 29643 49405 59286 98810 148215 296430