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230776 = 23713317
BaseRepresentation
bin111000010101111000
3102201120021
4320111320
524341101
64540224
71650550
oct702570
9381507
10230776
11148427
12b1674
1381070
1460160
15485a1
hex38578

230776 has 32 divisors (see below), whose sum is σ = 534240. Its totient is φ = 91008.

The previous prime is 230773. The next prime is 230779. The reversal of 230776 is 677032.

230776 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230773) and next prime (230779).

It is a self number, because there is not a number n which added to its sum of digits gives 230776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (16695).

2230776 is an apocalyptic number.

230776 is a gapful number since it is divisible by the number (26) 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 230776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267120).

230776 is an abundant number, since it is smaller than the sum of its proper divisors (303464).

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

230776 is a wasteful number, since it uses less digits than its factorization.

230776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 230776 is about 480.3915070024. The cubic root of 230776 is about 61.3380851181.

The spelling of 230776 in words is "two hundred thirty thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 317 364 634 728 1268 2219 2536 4121 4438 8242 8876 16484 17752 28847 32968 57694 115388 230776