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234673296 = 2431113179191
BaseRepresentation
bin11011111110011…
…01010010010000
3121100120122020120
431333031102100
5440034021141
635141510240
75546455464
oct1577152220
9540518216
10234673296
11110515580
1266712380
1339807450
142324a4a4
1515907c66
hexdfcd490

234673296 has 160 divisors (see below), whose sum is σ = 719953920. Its totient is φ = 64934400.

The previous prime is 234673291. The next prime is 234673297. The reversal of 234673296 is 692376432.

234673296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (234673291) 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, 1228561 + ... + 1228751.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2234673296 is an apocalyptic number.

234673296 is a gapful number since it is divisible by the number (26) 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 234673296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

234673296 is an abundant number, since it is smaller than the sum of its proper divisors (485280624).

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

234673296 is a wasteful number, since it uses less digits than its factorization.

234673296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 234673296 is about 15319.0501010996. The cubic root of 234673296 is about 616.8144761180.

The spelling of 234673296 in words is "two hundred thirty-four million, six hundred seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 179 191 208 264 286 312 358 382 429 528 537 572 573 624 716 764 858 1074 1144 1146 1432 1528 1716 1969 2101 2148 2288 2292 2327 2483 2864 3056 3432 3938 4202 4296 4584 4654 4966 5907 6303 6864 6981 7449 7876 8404 8592 9168 9308 9932 11814 12606 13962 14898 15752 16808 18616 19864 23628 25212 25597 27313 27924 29796 31504 33616 34189 37232 39728 47256 50424 51194 54626 55848 59592 68378 76791 81939 94512 100848 102388 102567 109252 111696 119184 136756 153582 163878 204776 205134 218504 273512 307164 327756 376079 409552 410268 437008 444457 547024 614328 655512 752158 820536 888914 1128237 1228656 1311024 1333371 1504316 1641072 1777828 2256474 2666742 3008632 3555656 4512948 4889027 5333484 6017264 7111312 9025896 9778054 10666968 14667081 18051792 19556108 21333936 29334162 39112216 58668324 78224432 117336648 234673296