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4320242000 = 2453532769
BaseRepresentation
bin1000000011000000…
…11010100101010000
3102011002022000212222
410001200122211100
532321440221000
61552405440212
7212026310504
oct40140324520
912132260788
104320242000
111917733838
12a06a10068
1353b088b19
142cdab6304
151a4431a85
hex10181a950

4320242000 has 120 divisors (see below), whose sum is σ = 10661010360. Its totient is φ = 1693286400.

The previous prime is 4320241999. The next prime is 4320242029. The reversal of 4320242000 is 2420234.

It can be written as a sum of positive squares in 12 ways, for example, as 2327869504 + 1992372496 = 48248^2 + 44636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4320242000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5617616 + ... + 5618384.

It is an arithmetic number, because the mean of its divisors is an integer number (88841753).

Almost surely, 24320242000 is an apocalyptic number.

4320242000 is a gapful number since it is divisible by the number (40) 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 4320242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330505180).

4320242000 is an abundant number, since it is smaller than the sum of its proper divisors (6340768360).

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

4320242000 is an equidigital number, since it uses as much as digits as its factorization.

4320242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4320242000 is about 65728.5478312126. The cubic root of 4320242000 is about 1628.6809809198.

Adding to 4320242000 its reverse (2420234), we get a palindrome (4322662234).

The spelling of 4320242000 in words is "four billion, three hundred twenty million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 769 848 1000 1060 1325 1538 2000 2120 2650 2809 3076 3845 4240 5300 5618 6152 6625 7690 10600 11236 12304 13250 14045 15380 19225 21200 22472 26500 28090 30760 38450 40757 44944 53000 56180 61520 70225 76900 81514 96125 106000 112360 140450 153800 163028 192250 203785 224720 280900 307600 326056 351125 384500 407570 561800 652112 702250 769000 815140 1018925 1123600 1404500 1538000 1630280 2037850 2160121 2809000 3260560 4075700 4320242 5094625 5618000 8151400 8640484 10189250 10800605 16302800 17280968 20378500 21601210 34561936 40757000 43202420 54003025 81514000 86404840 108006050 172809680 216012100 270015125 432024200 540030250 864048400 1080060500 2160121000 4320242000