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34041000420 = 22325727016667
BaseRepresentation
bin11111101101000000…
…000111000111100100
310020212101010222211100
4133231000013013210
51024203444003140
623345504440100
72313365505120
oct375500070744
9106771128740
1034041000420
11134892914a9
126720319030
1332966407cb
14190cdd2580
15d4379c530
hex7ed0071e4

34041000420 has 72 divisors (see below), whose sum is σ = 118008805824. Its totient is φ = 7780799808.

The previous prime is 34041000319. The next prime is 34041000449. The reversal of 34041000420 is 2400014043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34041000393 and 34041000402.

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 23 ways as a sum of consecutive naturals, for example, 13507074 + ... + 13509593.

It is an arithmetic number, because the mean of its divisors is an integer number (1639011192).

Almost surely, 234041000420 is an apocalyptic number.

34041000420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34041000420 is an abundant number, since it is smaller than the sum of its proper divisors (83967805404).

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

34041000420 is a wasteful number, since it uses less digits than its factorization.

34041000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27016689 (or 27016684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34041000420 its reverse (2400014043), we get a palindrome (36441014463).

The spelling of 34041000420 in words is "thirty-four billion, forty-one million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 27016667 54033334 81050001 108066668 135083335 162100002 189116669 243150003 270166670 324200004 378233338 405250005 486300006 540333340 567350007 756466676 810500010 945583345 972600012 1134700014 1215750015 1621000020 1702050021 1891166690 2269400028 2431500030 2836750035 3404100042 3782333380 4863000060 5673500070 6808200084 8510250105 11347000140 17020500210 34041000420