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234208 = 2513563
BaseRepresentation
bin111001001011100000
3102220021101
4321023200
524443313
65004144
71663552
oct711340
9386241
10234208
1114aa67
12b3654
13827b0
14614d2
15495dd
hex392e0

234208 has 24 divisors (see below), whose sum is σ = 497448. Its totient is φ = 107904.

The previous prime is 234203. The next prime is 234211. The reversal of 234208 is 802432.

It is a happy number.

234208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234203) by changing a digit.

234208 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 3 ways as a sum of consecutive naturals, for example, 135 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (20727).

2234208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248724).

234208 is an abundant number, since it is smaller than the sum of its proper divisors (263240).

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

234208 is a wasteful number, since it uses less digits than its factorization.

234208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 234208 is about 483.9504106827. The cubic root of 234208 is about 61.6406545596.

The spelling of 234208 in words is "two hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 563 1126 2252 4504 7319 9008 14638 18016 29276 58552 117104 234208