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2304032325240 = 23351011783106619
BaseRepresentation
bin100001100001110011000…
…001110011111001111000
322011021002222022020001110
4201201303001303321320
5300222124233401430
64522242520520320
7325314032425602
oct41416301637170
98137088266043
102304032325240
118091531aa788
123126539200a0
131393668c1b39
147d73135c172
153edee6997b0
hex21873073e78

2304032325240 has 128 divisors (see below), whose sum is σ = 6984514137600. Its totient is φ = 607978483200.

The previous prime is 2304032325239. The next prime is 2304032325241. The reversal of 2304032325240 is 425232304032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2304032325239) and next prime (2304032325241).

It is a super-2 number, since 2×23040323252402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2304032325198 and 2304032325207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304032325241) 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, 21556651 + ... + 21663269.

It is an arithmetic number, because the mean of its divisors is an integer number (54566516700).

Almost surely, 22304032325240 is an apocalyptic number.

2304032325240 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 2304032325240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492257068800).

2304032325240 is an abundant number, since it is smaller than the sum of its proper divisors (4680481812360).

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

2304032325240 is a wasteful number, since it uses less digits than its factorization.

2304032325240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108517 (or 108513 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 2304032325240 its reverse (425232304032), we get a palindrome (2729264629272).

The spelling of 2304032325240 in words is "two trillion, three hundred four billion, thirty-two million, three hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 1783 2020 2424 3030 3566 4040 5349 6060 7132 8915 10698 12120 14264 17830 21396 26745 35660 42792 53490 71320 106619 106980 180083 213238 213960 319857 360166 426476 533095 540249 639714 720332 852952 900415 1066190 1080498 1279428 1440664 1599285 1800830 2132380 2160996 2558856 2701245 3198570 3601660 4264760 4321992 5402490 6397140 7203320 10768519 10804980 12794280 21537038 21609960 32305557 43074076 53842595 64611114 86148152 107685190 129222228 161527785 190101677 215370380 258444456 323055570 380203354 430740760 570305031 646111140 760406708 950508385 1140610062 1292222280 1520813416 1901016770 2281220124 2851525155 3802033540 4562440248 5703050310 7604067080 11406100620 19200269377 22812201240 38400538754 57600808131 76801077508 96001346885 115201616262 153602155016 192002693770 230403232524 288004040655 384005387540 460806465048 576008081310 768010775080 1152016162620 2304032325240