Search a number
-
+
234111312 = 243219412087
BaseRepresentation
bin11011111010001…
…00000101010000
3121022112002100100
431331010011100
5434413030222
635121452400
75541625161
oct1575040520
9538462310
10234111312
11110171326
12664a1100
133966b706
1423141768
15158464ac
hexdf44150

234111312 has 120 divisors (see below), whose sum is σ = 706829760. Its totient is φ = 72092160.

The previous prime is 234111299. The next prime is 234111329. The reversal of 234111312 is 213111432.

234111312 is a `hidden beast` number, since 2 + 341 + 11 + 312 = 666.

It is a super-2 number, since 2×2341113122 = 109616212812722688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111133 + ... + 113219.

It is an arithmetic number, because the mean of its divisors is an integer number (5890248).

Almost surely, 2234111312 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 234111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353414880).

234111312 is an abundant number, since it is smaller than the sum of its proper divisors (472718448).

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

234111312 is a wasteful number, since it uses less digits than its factorization.

234111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 234111312 is about 15300.6964547370. The cubic root of 234111312 is about 616.3217102934.

Adding to 234111312 its reverse (213111432), we get a palindrome (447222744).

The spelling of 234111312 in words is "two hundred thirty-four million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 492 656 684 738 779 912 984 1368 1476 1558 1968 2087 2337 2736 2952 3116 4174 4674 5904 6232 6261 7011 8348 9348 12464 12522 14022 16696 18696 18783 25044 28044 33392 37392 37566 39653 50088 56088 75132 79306 85567 100176 112176 118959 150264 158612 171134 237918 256701 300528 317224 342268 356877 475836 513402 634448 684536 713754 770103 951672 1026804 1369072 1427508 1540206 1625773 1903344 2053608 2855016 3080412 3251546 4107216 4877319 5710032 6160824 6503092 9754638 12321648 13006184 14631957 19509276 26012368 29263914 39018552 58527828 78037104 117055656 234111312