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234451424340 = 223257533510803
BaseRepresentation
bin1101101001011001100…
…1001101010001010100
3211102011022201101002200
43122112121031101110
512320124031034330
6255412215404500
722636632140250
oct3322631152124
9742138641080
10234451424340
1190480798221
1239531383730
13191549b0a73
14b4c17cd260
156172c93a60
hex369664d454

234451424340 has 144 divisors (see below), whose sum is σ = 828100361088. Its totient is φ = 52577770752.

The previous prime is 234451424279. The next prime is 234451424351. The reversal of 234451424340 is 43424154432.

234451424340 is a `hidden beast` number, since 23 + 44 + 514 + 2 + 43 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234451424295 and 234451424304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1688622 + ... + 1822181.

It is an arithmetic number, because the mean of its divisors is an integer number (5750696952).

Almost surely, 2234451424340 is an apocalyptic number.

234451424340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234451424340 is an abundant number, since it is smaller than the sum of its proper divisors (593648936748).

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

234451424340 is a wasteful number, since it uses less digits than its factorization.

234451424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510878 (or 3510873 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 234451424340 its reverse (43424154432), we get a palindrome (277875578772).

The spelling of 234451424340 in words is "two hundred thirty-four billion, four hundred fifty-one million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 371 420 477 530 630 636 742 795 954 1060 1113 1260 1484 1590 1855 1908 2226 2385 3180 3339 3710 4452 4770 5565 6678 7420 9540 11130 13356 16695 22260 33390 66780 3510803 7021606 10532409 14043212 17554015 21064818 24575621 31597227 35108030 42129636 49151242 52662045 63194454 70216060 73726863 98302484 105324090 122878105 126388908 147453726 157986135 186072559 210648180 221180589 245756210 294907452 315972270 368634315 372145118 442361178 491512420 558217677 631944540 737268630 744290236 884722356 930362795 1105902945 1116435354 1302507913 1474537260 1674653031 1860725590 2211805890 2232870708 2605015826 2791088385 3349306062 3721451180 3907523739 4423611780 5210031652 5582176770 6512539565 6698612124 7815047478 8373265155 11164353540 11722571217 13025079130 15630094956 16746530310 19537618695 23445142434 26050158260 33493060620 39075237390 46890284868 58612856085 78150474780 117225712170 234451424340