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32304340040 = 23572910737181
BaseRepresentation
bin11110000101011111…
…010001110001001000
310002101100022111122112
4132011133101301020
51012124402340130
622501310041452
72222350234250
oct360537216110
9102340274575
1032304340040
1112777a59895
1263167a9288
13307a8c980b
1417c64c6960
15c910a6495
hex7857d1c48

32304340040 has 128 divisors (see below), whose sum is σ = 86738169600. Its totient is φ = 10593623040.

The previous prime is 32304340021. The next prime is 32304340067. The reversal of 32304340040 is 4004340323.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32304339988 and 32304340015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850250 + ... + 887430.

It is an arithmetic number, because the mean of its divisors is an integer number (677641950).

Almost surely, 232304340040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32304340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43369084800).

32304340040 is an abundant number, since it is smaller than the sum of its proper divisors (54433829560).

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

32304340040 is a wasteful number, since it uses less digits than its factorization.

32304340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37335 (or 37331 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 32304340040 its reverse (4004340323), we get a palindrome (36308680363).

The spelling of 32304340040 in words is "thirty-two billion, three hundred four million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 107 116 140 145 203 214 232 280 290 406 428 535 580 749 812 856 1015 1070 1160 1498 1624 2030 2140 2996 3103 3745 4060 4280 5992 6206 7490 8120 12412 14980 15515 21721 24824 29960 31030 37181 43442 62060 74362 86884 108605 124120 148724 173768 185905 217210 260267 297448 371810 434420 520534 743620 868840 1041068 1078249 1301335 1487240 2082136 2156498 2602670 3978367 4312996 5205340 5391245 7547743 7956734 8625992 10410680 10782490 15095486 15913468 19891835 21564980 27848569 30190972 31826936 37738715 39783670 43129960 55697138 60381944 75477430 79567340 111394276 115372643 139242845 150954860 159134680 222788552 230745286 278485690 301909720 461490572 556971380 576863215 807608501 922981144 1113942760 1153726430 1615217002 2307452860 3230434004 4038042505 4614905720 6460868008 8076085010 16152170020 32304340040