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24304034020 = 22571759173081
BaseRepresentation
bin10110101000101000…
…100010000011100100
32022201210022211222011
4112220220202003210
5344233313042040
615055355444004
71520163611020
oct265050420344
968653284864
1024304034020
11a341aa2532
124863456604
1323a42aa326
141267b7d380
15973a4a3ea
hex5a8a220e4

24304034020 has 96 divisors (see below), whose sum is σ = 62807996160. Its totient is φ = 7709675520.

The previous prime is 24304033991. The next prime is 24304034039. The reversal of 24304034020 is 2043040342.

It is a junction number, because it is equal to n+sod(n) for n = 24304033982 and 24304034000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53880 + ... + 226960.

It is an arithmetic number, because the mean of its divisors is an integer number (654249960).

Almost surely, 224304034020 is an apocalyptic number.

24304034020 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 24304034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31403998080).

24304034020 is an abundant number, since it is smaller than the sum of its proper divisors (38503962140).

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

24304034020 is a wasteful number, since it uses less digits than its factorization.

24304034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173173 (or 173171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 24304034020 its reverse (2043040342), we get a palindrome (26347074362).

The spelling of 24304034020 in words is "twenty-four billion, three hundred four million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 59 68 70 85 118 119 140 170 236 238 295 340 413 476 590 595 826 1003 1180 1190 1652 2006 2065 2380 4012 4130 5015 7021 8260 10030 14042 20060 28084 35105 70210 140420 173081 346162 692324 865405 1211567 1730810 2423134 2942377 3461620 4846268 5884754 6057835 10211779 11769508 12115670 14711885 20423558 20596639 24231340 29423770 40847116 41193278 51058895 58847540 71482453 82386556 102117790 102983195 142964906 173600243 204235580 205966390 285929812 347200486 357412265 411932780 694400972 714824530 868001215 1215201701 1429649060 1736002430 2430403402 3472004860 4860806804 6076008505 12152017010 24304034020