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231384 = 23331311
BaseRepresentation
bin111000011111011000
3102202101210
4320133120
524401014
64543120
71652406
oct703730
9382353
10231384
1114892a
12b1aa0
138141a
1460476
1548859
hex387d8

231384 has 32 divisors (see below), whose sum is σ = 599040. Its totient is φ = 74400.

The previous prime is 231379. The next prime is 231409. The reversal of 231384 is 483132.

It is a happy number.

231384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2231384 is an apocalyptic number.

231384 is a gapful number since it is divisible by the number (24) 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 231384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299520).

231384 is an abundant number, since it is smaller than the sum of its proper divisors (367656).

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

231384 is a wasteful number, since it uses less digits than its factorization.

231384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 231384 is about 481.0239079297. The cubic root of 231384 is about 61.3919047708.

The spelling of 231384 in words is "two hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 311 372 622 744 933 1244 1866 2488 3732 7464 9641 19282 28923 38564 57846 77128 115692 231384