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234340344 = 2333733163
BaseRepresentation
bin11011111011110…
…11111111111000
3121022221201112000
431331323333320
5434442342334
635130421000
75543601000
oct1575737770
9538851460
10234340344
11110308407
1266591760
133971ba34
14231a1000
151588e299
hexdf7bff8

234340344 has 128 divisors (see below), whose sum is σ = 759360000. Its totient is φ = 66933216.

The previous prime is 234340343. The next prime is 234340349. The reversal of 234340344 is 443043432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234340343) 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, 72507 + ... + 75669.

It is an arithmetic number, because the mean of its divisors is an integer number (5932500).

Almost surely, 2234340344 is an apocalyptic number.

234340344 is a gapful number since it is divisible by the number (24) 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 234340344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379680000).

234340344 is an abundant number, since it is smaller than the sum of its proper divisors (525019656).

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

234340344 is a wasteful number, since it uses less digits than its factorization.

234340344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 234340344 is about 15308.1789903306. The cubic root of 234340344 is about 616.5226280907.

Adding to 234340344 its reverse (443043432), we get a palindrome (677383776).

The spelling of 234340344 in words is "two hundred thirty-four million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3163 3528 4116 5292 6174 6326 8232 9261 9489 10584 12348 12652 18522 18978 22141 24696 25304 28467 37044 37956 44282 56934 66423 74088 75912 85401 88564 113868 132846 154987 170802 177128 199269 227736 265692 309974 341604 398538 464961 531384 597807 619948 683208 797076 929922 1084909 1195614 1239896 1394883 1594152 1859844 2169818 2391228 2789766 3254727 3719688 4184649 4339636 4782456 5579532 6509454 8369298 8679272 9764181 11159064 13018908 16738596 19528362 26037816 29292543 33477192 39056724 58585086 78113448 117170172 234340344