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430066532 = 227219311369
BaseRepresentation
bin11001101000100…
…100101101100100
31002222020122101002
4121220210231210
51340044112112
6110401452432
713441335200
oct3150445544
91088218332
10430066532
11200841395
12100041118
136b13a94c
144118db00
1527b521c2
hex19a24b64

430066532 has 36 divisors (see below), whose sum is σ = 880106220. Its totient is φ = 183343104.

The previous prime is 430066529. The next prime is 430066541. The reversal of 430066532 is 235660034.

It can be written as a sum of positive squares in 2 ways, for example, as 173554276 + 256512256 = 13174^2 + 16016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 430066495 and 430066504.

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 11 ways as a sum of consecutive naturals, for example, 32144 + ... + 43512.

It is an arithmetic number, because the mean of its divisors is an integer number (24447395).

Almost surely, 2430066532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430066532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440053110).

430066532 is an abundant number, since it is smaller than the sum of its proper divisors (450039688).

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

430066532 is a wasteful number, since it uses less digits than its factorization.

430066532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11571 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 430066532 is about 20738.0455202509. The cubic root of 430066532 is about 754.8231575642.

The spelling of 430066532 in words is "four hundred thirty million, sixty-six thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 193 196 386 772 1351 2702 5404 9457 11369 18914 22738 37828 45476 79583 159166 318332 557081 1114162 2194217 2228324 4388434 8776868 15359519 30719038 61438076 107516633 215033266 430066532