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430288140 = 223523311803
BaseRepresentation
bin11001101001011…
…010110100001100
31002222122220100210
4121221122310030
51340123210030
6110410322420
713443250242
oct3151326414
91088586323
10430288140
11200982937
12100129410
136b1b7789
144120a792
1527b97bb0
hex19a5ad0c

430288140 has 48 divisors (see below), whose sum is σ = 1257193728. Its totient is φ = 109754304.

The previous prime is 430288129. The next prime is 430288141. The reversal of 430288140 is 41882034.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 430288098 and 430288107.

It is not an unprimeable number, because it can be changed into a prime (430288141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154522 + ... + 157281.

It is an arithmetic number, because the mean of its divisors is an integer number (26191536).

Almost surely, 2430288140 is an apocalyptic number.

It is an amenable number.

430288140 is an abundant number, since it is smaller than the sum of its proper divisors (826905588).

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

430288140 is a wasteful number, since it uses less digits than its factorization.

430288140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311838 (or 311836 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 430288140 is about 20743.3878621598. The cubic root of 430288140 is about 754.9527856679.

The spelling of 430288140 in words is "four hundred thirty million, two hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 311803 623606 935409 1247212 1559015 1870818 3118030 3741636 4677045 6236060 7171469 9354090 14342938 18708180 21514407 28685876 35857345 43028814 71714690 86057628 107572035 143429380 215144070 430288140