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234720 = 25325163
BaseRepresentation
bin111001010011100000
3102220222100
4321103200
530002340
65010400
71665213
oct712340
9386870
10234720
11150392
12b3a00
1382ab5
146177a
1549830
hex394e0

234720 has 72 divisors (see below), whose sum is σ = 805896. Its totient is φ = 62208.

The previous prime is 234713. The next prime is 234721. The reversal of 234720 is 27432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 234693 and 234702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234721) by changing a digit.

234720 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 11 ways as a sum of consecutive naturals, for example, 1359 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (11193).

2234720 is an apocalyptic number.

234720 is a gapful number since it is divisible by the number (20) 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 234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402948).

234720 is an abundant number, since it is smaller than the sum of its proper divisors (571176).

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

234720 is a wasteful number, since it uses less digits than its factorization.

234720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 234720 is about 484.4791017165. The cubic root of 234720 is about 61.6855392281.

The spelling of 234720 in words is "two hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 288 326 360 480 489 652 720 815 978 1304 1440 1467 1630 1956 2445 2608 2934 3260 3912 4890 5216 5868 6520 7335 7824 9780 11736 13040 14670 15648 19560 23472 26080 29340 39120 46944 58680 78240 117360 234720