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2423104400 = 245243913799
BaseRepresentation
bin1001000001101101…
…1010001110010000
320020212111110100102
42100123122032100
514430303320100
61040235311532
7114022022213
oct22033321620
96225443312
102423104400
111033863222
125775ab5a8
132c80180b2
1418db5577a
15e2adbcd5
hex906da390

2423104400 has 60 divisors (see below), whose sum is σ = 5835192000. Its totient is φ = 966963840.

The previous prime is 2423104391. The next prime is 2423104417. The reversal of 2423104400 is 44013242.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 168701 + ... + 182499.

It is an arithmetic number, because the mean of its divisors is an integer number (97253200).

Almost surely, 22423104400 is an apocalyptic number.

2423104400 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 2423104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917596000).

2423104400 is an abundant number, since it is smaller than the sum of its proper divisors (3412087600).

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

2423104400 is a wasteful number, since it uses less digits than its factorization.

2423104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14256 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2423104400 is about 49225.0383443223. The cubic root of 2423104400 is about 1343.1485329848.

Adding to 2423104400 its reverse (44013242), we get a palindrome (2467117642).

The spelling of 2423104400 in words is "two billion, four hundred twenty-three million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 439 878 1756 2195 3512 4390 7024 8780 10975 13799 17560 21950 27598 35120 43900 55196 68995 87800 110392 137990 175600 220784 275980 344975 551960 689950 1103920 1379900 2759800 5519600 6057761 12115522 24231044 30288805 48462088 60577610 96924176 121155220 151444025 242310440 302888050 484620880 605776100 1211552200 2423104400