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430269640 = 23527738833
BaseRepresentation
bin11001101001010…
…110010011001000
31002222121221222121
4121221112103020
51340122112030
6110410101024
713443142303
oct3151262310
91088557877
10430269640
1120096aa49
1210011a774
136b1ac228
1441203b3a
1527b9247a
hex19a564c8

430269640 has 32 divisors (see below), whose sum is σ = 971626680. Its totient is φ = 171482112.

The previous prime is 430269617. The next prime is 430269659. The reversal of 430269640 is 46962034.

It can be written as a sum of positive squares in 4 ways, for example, as 209033764 + 221235876 = 14458^2 + 14874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 430269596 and 430269605.

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 7 ways as a sum of consecutive naturals, for example, 8337 + ... + 30496.

Almost surely, 2430269640 is an apocalyptic number.

430269640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430269640 is an abundant number, since it is smaller than the sum of its proper divisors (541357040).

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

430269640 is a wasteful number, since it uses less digits than its factorization.

430269640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39121 (or 39117 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 430269640 is about 20742.9419321368. The cubic root of 430269640 is about 754.9419659207.

The spelling of 430269640 in words is "four hundred thirty million, two hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 277 554 1108 1385 2216 2770 5540 11080 38833 77666 155332 194165 310664 388330 776660 1553320 10756741 21513482 43026964 53783705 86053928 107567410 215134820 430269640