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24322444340 = 22517233110287
BaseRepresentation
bin10110101001101110…
…110000110000110100
32022210001222012011212
4112221232300300310
5344303021204330
615101254220552
71520506236305
oct265156606064
968701865155
1024322444340
11a351427477
124869654758
1323a8054ccc
14126a3b27ac
15975485295
hex5a9bb0c34

24322444340 has 48 divisors (see below), whose sum is σ = 56433065472. Its totient is φ = 8758565376.

The previous prime is 24322444303. The next prime is 24322444343. The reversal of 24322444340 is 4344422342.

It is a junction number, because it is equal to n+sod(n) for n = 24322444297 and 24322444306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24322444343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1547324 + ... + 1562963.

It is an arithmetic number, because the mean of its divisors is an integer number (1175688864).

Almost surely, 224322444340 is an apocalyptic number.

24322444340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24322444340 is an abundant number, since it is smaller than the sum of its proper divisors (32110621132).

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

24322444340 is a wasteful number, since it uses less digits than its factorization.

24322444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110336 (or 3110334 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 24322444340 its reverse (4344422342), we get a palindrome (28666866682).

The spelling of 24322444340 in words is "twenty-four billion, three hundred twenty-two million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 3110287 6220574 12441148 15551435 31102870 52874879 62205740 71536601 105749758 143073202 211499516 264374395 286146404 357683005 528748790 715366010 1057497580 1216122217 1430732020 2432244434 4864488868 6080611085 12161222170 24322444340