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234384 = 24319257
BaseRepresentation
bin111001001110010000
3102220111220
4321032100
530000014
65005040
71664223
oct711620
9386456
10234384
11150107
12b3780
13828b7
14615ba
15496a9
hex39390

234384 has 40 divisors (see below), whose sum is σ = 639840. Its totient is φ = 73728.

The previous prime is 234383. The next prime is 234431. The reversal of 234384 is 483432.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234383) 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, 784 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (15996).

2234384 is an apocalyptic number.

234384 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 234384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319920).

234384 is an abundant number, since it is smaller than the sum of its proper divisors (405456).

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

234384 is a wasteful number, since it uses less digits than its factorization.

234384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 234384 is about 484.1322133467. The cubic root of 234384 is about 61.6560910360.

The spelling of 234384 in words is "two hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 257 304 456 514 771 912 1028 1542 2056 3084 4112 4883 6168 9766 12336 14649 19532 29298 39064 58596 78128 117192 234384