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234313128 = 23337314999
BaseRepresentation
bin11011111011101…
…01010110101000
3121022220100012000
431331311112220
5434441010003
635130051000
75543425440
oct1575652650
9538810160
10234313128
11110299a15
1266579a60
133970c52a
1423195120
15158861a3
hexdf755a8

234313128 has 128 divisors (see below), whose sum is σ = 768000000. Its totient is φ = 64774080.

The previous prime is 234313117. The next prime is 234313133. The reversal of 234313128 is 821313432.

234313128 is a `hidden beast` number, since 2 + 343 + 1 + 312 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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 31 ways as a sum of consecutive naturals, for example, 44373 + ... + 49371.

It is an arithmetic number, because the mean of its divisors is an integer number (6000000).

Almost surely, 2234313128 is an apocalyptic number.

234313128 is a gapful number since it is divisible by the number (28) 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 234313128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384000000).

234313128 is an abundant number, since it is smaller than the sum of its proper divisors (533686872).

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

234313128 is a wasteful number, since it uses less digits than its factorization.

234313128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5042 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 234313128 is about 15307.2900279573. The cubic root of 234313128 is about 616.4987597728.

The spelling of 234313128 in words is "two hundred thirty-four million, three hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 4999 5208 5859 6696 7812 9998 11718 14997 15624 19996 23436 29994 34993 39992 44991 46872 59988 69986 89982 104979 119976 134973 139972 154969 179964 209958 269946 279944 309938 314937 359928 419916 464907 539892 619876 629874 839832 929814 944811 1079784 1084783 1239752 1259748 1394721 1859628 1889622 2169566 2519496 2789442 3254349 3719256 3779244 4184163 4339132 5578884 6508698 7558488 8368326 8678264 9763047 11157768 13017396 16736652 19526094 26034792 29289141 33473304 39052188 58578282 78104376 117156564 234313128