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430164141 = 311172932617
BaseRepresentation
bin11001101000111…
…100100010101101
31002222102121021020
4121220330202231
51340110223031
6110403524353
713442222601
oct3150744255
91088377236
10430164141
112008a8760
121000896b9
136b1731c4
14411b7501
1527b71096
hex19a3c8ad

430164141 has 32 divisors (see below), whose sum is σ = 665013888. Its totient is φ = 244439040.

The previous prime is 430164139. The next prime is 430164167. The reversal of 430164141 is 141461034.

It is not a de Polignac number, because 430164141 - 21 = 430164139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430164181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163065 + ... + 165681.

It is an arithmetic number, because the mean of its divisors is an integer number (20781684).

Almost surely, 2430164141 is an apocalyptic number.

It is an amenable number.

430164141 is a deficient number, since it is larger than the sum of its proper divisors (234849747).

430164141 is a wasteful number, since it uses less digits than its factorization.

430164141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 430164141 is about 20740.3987666583. The cubic root of 430164141 is about 754.8802587759.

The spelling of 430164141 in words is "four hundred thirty million, one hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 293 561 879 2617 3223 4981 7851 9669 14943 28787 44489 54791 86361 133467 164373 489379 766781 1468137 2300343 8434591 13035277 25303773 39105831 143388047 430164141