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430143040 = 2655922783
BaseRepresentation
bin11001101000110…
…111011001000000
31002222101112022201
4121220313121000
51340104034130
6110403242544
713442104225
oct3150673100
91088345281
10430143040
11200893918
12100079454
136b166712
14411ad94c
1527b69bca
hex19a37640

430143040 has 56 divisors (see below), whose sum is σ = 1041684480. Its totient is φ = 169133568.

The previous prime is 430143029. The next prime is 430143041. The reversal of 430143040 is 40341034.

It is a junction number, because it is equal to n+sod(n) for n = 430142999 and 430143017.

It is not an unprimeable number, because it can be changed into a prime (430143041) 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 7 ways as a sum of consecutive naturals, for example, 7489 + ... + 30271.

Almost surely, 2430143040 is an apocalyptic number.

430143040 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 430143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520842240).

430143040 is an abundant number, since it is smaller than the sum of its proper divisors (611541440).

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

430143040 is a wasteful number, since it uses less digits than its factorization.

430143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22859 (or 22849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 430143040 is about 20739.8900672111. The cubic root of 430143040 is about 754.8679154343.

Adding to 430143040 its reverse (40341034), we get a palindrome (470484074).

The spelling of 430143040 in words is "four hundred thirty million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1888 2360 3776 4720 9440 18880 22783 45566 91132 113915 182264 227830 364528 455660 729056 911320 1344197 1458112 1822640 2688394 3645280 5376788 6720985 7290560 10753576 13441970 21507152 26883940 43014304 53767880 86028608 107535760 215071520 430143040