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430044320 = 2552687777
BaseRepresentation
bin11001101000011…
…111010010100000
31002222012111220102
4121220133102200
51340042404240
6110401201532
713441213346
oct3150372240
91088174812
10430044320
11200826732
121000302a8
136b1307c4
1441185996
1527b4a815
hex19a1f4a0

430044320 has 24 divisors (see below), whose sum is σ = 1015980084. Its totient is φ = 172017664.

The previous prime is 430044301. The next prime is 430044353. The reversal of 430044320 is 23440034.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 415996816 + 14047504 = 20396^2 + 3748^2 .

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 = 430044292 and 430044301.

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 3 ways as a sum of consecutive naturals, for example, 1343729 + ... + 1344048.

Almost surely, 2430044320 is an apocalyptic number.

430044320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430044320 is an abundant number, since it is smaller than the sum of its proper divisors (585935764).

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

430044320 is a wasteful number, since it uses less digits than its factorization.

430044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687792 (or 2687784 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 430044320 is about 20737.5099758867. The cubic root of 430044320 is about 754.8101623496.

Adding to 430044320 its reverse (23440034), we get a palindrome (453484354).

The spelling of 430044320 in words is "four hundred thirty million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2687777 5375554 10751108 13438885 21502216 26877770 43004432 53755540 86008864 107511080 215022160 430044320