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4324240000 = 2754191283
BaseRepresentation
bin1000000011011111…
…01010101010000000
3102011100211011010001
410001233222222000
532324001140000
61553031245344
7212105301463
oct40157525200
912140734101
104324240000
111919a14573
12a08219854
1353bb587c2
142d04372da
151a497146a
hex101beaa80

4324240000 has 160 divisors (see below), whose sum is σ = 10859523840. Its totient is φ = 1714560000.

The previous prime is 4324239989. The next prime is 4324240009. The reversal of 4324240000 is 424234.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 4324240000.

It is not an unprimeable number, because it can be changed into a prime (4324240009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 15279859 + ... + 15280141.

It is an arithmetic number, because the mean of its divisors is an integer number (67872024).

Almost surely, 24324240000 is an apocalyptic number.

4324240000 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 4324240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429761920).

4324240000 is an abundant number, since it is smaller than the sum of its proper divisors (6535283840).

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

4324240000 is an equidigital number, since it uses as much as digits as its factorization.

4324240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4324240000 is about 65758.9537629668. The cubic root of 4324240000 is about 1629.1832258557.

Adding to 4324240000 its reverse (424234), we get a palindrome (4324664234).

The spelling of 4324240000 in words is "four billion, three hundred twenty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 191 200 250 283 320 382 400 500 566 625 640 764 800 955 1000 1132 1250 1415 1528 1600 1910 2000 2264 2500 2830 3056 3200 3820 4000 4528 4775 5000 5660 6112 7075 7640 8000 9056 9550 10000 11320 12224 14150 15280 16000 18112 19100 20000 22640 23875 24448 28300 30560 35375 36224 38200 40000 45280 47750 54053 56600 61120 70750 76400 80000 90560 95500 108106 113200 119375 122240 141500 152800 176875 181120 191000 216212 226400 238750 270265 283000 305600 353750 382000 432424 452800 477500 540530 566000 611200 707500 764000 864848 905600 955000 1081060 1132000 1351325 1415000 1528000 1729696 1910000 2162120 2264000 2702650 2830000 3056000 3459392 3820000 4324240 4528000 5405300 5660000 6756625 6918784 7640000 8648480 10810600 11320000 13513250 15280000 17296960 21621200 22640000 27026500 33783125 34593920 43242400 54053000 67566250 86484800 108106000 135132500 172969600 216212000 270265000 432424000 540530000 864848000 1081060000 2162120000 4324240000