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234314208 = 253530133
BaseRepresentation
bin11011111011101…
…01100111100000
3121022220101200000
431331311213200
5434441023313
635130100000
75543431542
oct1575654740
9538811600
10234314208
1111029a807
126657a600
133970cb7b
1423195692
1515886673
hexdf759e0

234314208 has 72 divisors (see below), whose sum is σ = 691032888. Its totient is φ = 78102144.

The previous prime is 234314189. The next prime is 234314231. The reversal of 234314208 is 802413432.

234314208 is a `hidden beast` number, since 23 + 431 + 4 + 208 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7291 + ... + 22842.

It is an arithmetic number, because the mean of its divisors is an integer number (9597679).

Almost surely, 2234314208 is an apocalyptic number.

It is an amenable number.

234314208 is an abundant number, since it is smaller than the sum of its proper divisors (456718680).

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

234314208 is an equidigital number, since it uses as much as digits as its factorization.

234314208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30158 (or 30138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 234314208 is about 15307.3253052256. The cubic root of 234314208 is about 616.4997069635.

The spelling of 234314208 in words is "two hundred thirty-four million, three hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 30133 60266 90399 120532 180798 241064 271197 361596 482128 542394 723192 813591 964256 1084788 1446384 1627182 2169576 2440773 2892768 3254364 4339152 4881546 6508728 7322319 8678304 9763092 13017456 14644638 19526184 26034912 29289276 39052368 58578552 78104736 117157104 234314208