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234008112 = 243134779101
BaseRepresentation
bin11011111001010…
…10111000110000
3121022022211210010
431330222320300
5434401224422
635115334520
75541015252
oct1574527060
9538284703
10234008112
11110100838
1266451440
1339633750
1423115cd2
1515825b0c
hexdf2ae30

234008112 has 160 divisors (see below), whose sum is σ = 679956480. Its totient is φ = 68889600.

The previous prime is 234008083. The next prime is 234008113. The reversal of 234008112 is 211800432.

It is not an unprimeable number, because it can be changed into a prime (234008113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316862 + ... + 2316962.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2234008112 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 234008112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339978240).

234008112 is an abundant number, since it is smaller than the sum of its proper divisors (445948368).

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

234008112 is a wasteful number, since it uses less digits than its factorization.

234008112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 234008112 is about 15297.3236874951. The cubic root of 234008112 is about 616.2311355035.

Adding to 234008112 its reverse (211800432), we get a palindrome (445808544).

The spelling of 234008112 in words is "two hundred thirty-four million, eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 79 94 101 104 141 156 158 188 202 208 237 282 303 312 316 376 404 474 564 606 611 624 632 752 808 948 1027 1128 1212 1222 1264 1313 1616 1833 1896 2054 2256 2424 2444 2626 3081 3666 3713 3792 3939 4108 4747 4848 4888 5252 6162 7332 7426 7878 7979 8216 9494 9776 10504 11139 12324 14241 14664 14852 15756 15958 16432 18988 21008 22278 23937 24648 28482 29328 29704 31512 31916 37976 44556 47874 48269 49296 56964 59408 61711 63024 63832 75952 89112 95748 96538 103727 113928 123422 127664 144807 178224 185133 191496 193076 207454 227856 246844 289614 311181 370266 375013 382992 386152 414908 493688 579228 622362 740532 750026 772304 829816 987376 1125039 1158456 1244724 1481064 1500052 1659632 2250078 2316912 2489448 2962128 3000104 4500156 4875169 4978896 6000208 9000312 9750338 14625507 18000624 19500676 29251014 39001352 58502028 78002704 117004056 234008112