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241420320 = 25325359467
BaseRepresentation
bin11100110001111…
…00100000100000
3121211021102102100
432120330200200
5443300422240
635542250400
75661016221
oct1630744040
9554242370
10241420320
11114303729
1268a26a00
133b02a47b
14240c5248
15162dbe30
hexe63c820

241420320 has 144 divisors (see below), whose sum is σ = 827910720. Its totient is φ = 64061952.

The previous prime is 241420303. The next prime is 241420339. The reversal of 241420320 is 23024142.

241420320 is a `hidden beast` number, since 241 + 420 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241420293 and 241420302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516727 + ... + 517193.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2241420320 is an apocalyptic number.

241420320 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 241420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413955360).

241420320 is an abundant number, since it is smaller than the sum of its proper divisors (586490400).

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

241420320 is a wasteful number, since it uses less digits than its factorization.

241420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241420320 is about 15537.7063944457. The cubic root of 241420320 is about 622.6699976029.

Adding to 241420320 its reverse (23024142), we get a palindrome (264444462).

The spelling of 241420320 in words is "two hundred forty-one million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 359 360 467 480 718 720 934 1077 1401 1436 1440 1795 1868 2154 2335 2802 2872 3231 3590 3736 4203 4308 4670 5385 5604 5744 6462 7005 7180 7472 8406 8616 9340 10770 11208 11488 12924 14010 14360 14944 16155 16812 17232 18680 21015 21540 22416 25848 28020 28720 32310 33624 34464 37360 42030 43080 44832 51696 56040 57440 64620 67248 74720 84060 86160 103392 112080 129240 134496 167653 168120 172320 224160 258480 335306 336240 502959 516960 670612 672480 838265 1005918 1341224 1508877 1676530 2011836 2514795 2682448 3017754 3353060 4023672 5029590 5364896 6035508 6706120 7544385 8047344 10059180 12071016 13412240 15088770 16094688 20118360 24142032 26824480 30177540 40236720 48284064 60355080 80473440 120710160 241420320