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430105640 = 23512498609
BaseRepresentation
bin11001101000101…
…110010000101000
31002222022122000112
4121220232100220
51340101340030
6110402353452
713441560206
oct3150562050
91088278015
10430105640
11200868808
1210005b888
136b1526a3
14411a0076
1527b5da95
hex19a2e428

430105640 has 32 divisors (see below), whose sum is σ = 968625000. Its totient is φ = 171884544.

The previous prime is 430105591. The next prime is 430105657. The reversal of 430105640 is 46501034.

It is a happy number.

430105640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 273505444 + 156600196 = 16538^2 + 12514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45656 + ... + 54264.

Almost surely, 2430105640 is an apocalyptic number.

430105640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430105640 is an abundant number, since it is smaller than the sum of its proper divisors (538519360).

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

430105640 is a wasteful number, since it uses less digits than its factorization.

430105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9869 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 430105640 is about 20738.9884034878. The cubic root of 430105640 is about 754.8460367601.

Adding to 430105640 its reverse (46501034), we get a palindrome (476606674).

The spelling of 430105640 in words is "four hundred thirty million, one hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1249 2498 4996 6245 8609 9992 12490 17218 24980 34436 43045 49960 68872 86090 172180 344360 10752641 21505282 43010564 53763205 86021128 107526410 215052820 430105640