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30842130340 = 22571273474999
BaseRepresentation
bin11100101110010101…
…011000111110100100
32221121102220120000201
4130232111120332210
51001131041132330
622100233520244
72141203532230
oct345625307644
987542816021
1030842130340
111209764001a
125b88b73084
132ba69a9388
1416c821d5c0
15c07a23eca
hex72e558fa4

30842130340 has 96 divisors (see below), whose sum is σ = 74833920000. Its totient is φ = 10458854784.

The previous prime is 30842130331. The next prime is 30842130349. The reversal of 30842130340 is 4303124803.

It is an interprime number because it is at equal distance from previous prime (30842130331) and next prime (30842130349).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 30842130299 and 30842130308.

It is not an unprimeable number, because it can be changed into a prime (30842130349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6167161 + ... + 6172159.

It is an arithmetic number, because the mean of its divisors is an integer number (779520000).

Almost surely, 230842130340 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 30842130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37416960000).

30842130340 is an abundant number, since it is smaller than the sum of its proper divisors (43991789660).

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

30842130340 is a wasteful number, since it uses less digits than its factorization.

30842130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 30842130340 in words is "thirty billion, eight hundred forty-two million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 347 508 635 694 889 1270 1388 1735 1778 2429 2540 3470 3556 4445 4858 4999 6940 8890 9716 9998 12145 17780 19996 24290 24995 34993 44069 48580 49990 69986 88138 99980 139972 174965 176276 220345 308483 349930 440690 616966 634873 699860 881380 1233932 1269746 1542415 1734653 2539492 3084830 3174365 3469306 4444111 6169660 6348730 6938612 8673265 8888222 12142571 12697460 17346530 17776444 22220555 24285142 34693060 44441110 48570284 60712855 88882220 121425710 220300931 242851420 440601862 881203724 1101504655 1542106517 2203009310 3084213034 4406018620 6168426068 7710532585 15421065170 30842130340