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234325054240 = 25517102184377
BaseRepresentation
bin1101101000111011011…
…1001001001100100000
3211101211111221002220121
43122032313021030200
512314344203213430
6255351503050024
722633536045304
oct3321667111440
9741744832817
10234325054240
1190416425522
12394b6ba0914
1319134766564
14b4acad5d04
156166b30a7a
hex368edc9320

234325054240 has 96 divisors (see below), whose sum is σ = 586738286064. Its totient is φ = 88129044480.

The previous prime is 234325054217. The next prime is 234325054253. The reversal of 234325054240 is 42450523432.

It can be written as a sum of positive squares in 8 ways, for example, as 183153185296 + 51171868944 = 427964^2 + 226212^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 234325054196 and 234325054205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2734932 + ... + 2819308.

Almost surely, 2234325054240 is an apocalyptic number.

234325054240 is a gapful number since it is divisible by the number (20) 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 234325054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293369143032).

234325054240 is an abundant number, since it is smaller than the sum of its proper divisors (352413231824).

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

234325054240 is a wasteful number, since it uses less digits than its factorization.

234325054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85430 (or 85422 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 234325054240 its reverse (42450523432), we get a palindrome (276775577672).

The spelling of 234325054240 in words is "two hundred thirty-four billion, three hundred twenty-five million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1021 1360 2042 2720 4084 5105 8168 10210 16336 17357 20420 32672 34714 40840 69428 81680 84377 86785 138856 163360 168754 173570 277712 337508 347140 421885 555424 675016 694280 843770 1350032 1388560 1434409 1687540 2700064 2777120 2868818 3375080 5737636 6750160 7172045 11475272 13500320 14344090 22950544 28688180 45901088 57376360 86148917 114752720 172297834 229505440 344595668 430744585 689191336 861489170 1378382672 1464531589 1722978340 2756765344 2929063178 3445956680 5858126356 6891913360 7322657945 11716252712 13783826720 14645315890 23432505424 29290631780 46865010848 58581263560 117162527120 234325054240