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430021050320 = 24529185353901
BaseRepresentation
bin1100100000111110100…
…00000111111111010000
31112002221220110201222102
412100133100013333100
524021140342102240
6525314323255532
743032215422031
oct6203720077720
91462856421872
10430021050320
11156409743894
126b41121a5a8
1331721193944
1416b5532aa88
15b2bc2ce815
hex641f407fd0

430021050320 has 40 divisors (see below), whose sum is σ = 1034274773160. Its totient is φ = 166077094400.

The previous prime is 430021050301. The next prime is 430021050343. The reversal of 430021050320 is 23050120034.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 178891777936 + 251129272384 = 422956^2 + 501128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 430021050292 and 430021050301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92674631 + ... + 92679270.

It is an arithmetic number, because the mean of its divisors is an integer number (25856869329).

Almost surely, 2430021050320 is an apocalyptic number.

430021050320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430021050320 is an abundant number, since it is smaller than the sum of its proper divisors (604253722840).

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

430021050320 is a wasteful number, since it uses less digits than its factorization.

430021050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185353943 (or 185353937 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 430021050320 its reverse (23050120034), we get a palindrome (453071170354).

The spelling of 430021050320 in words is "four hundred thirty billion, twenty-one million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 185353901 370707802 741415604 926769505 1482831208 1853539010 2965662416 3707078020 5375263129 7414156040 10750526258 14828312080 21501052516 26876315645 43002105032 53752631290 86004210064 107505262580 215010525160 430021050320