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430204021 = 13415397157
BaseRepresentation
bin11001101001000…
…110010001110101
31002222111121222021
4121221012101311
51340113012041
6110404433141
713442450062
oct3151062165
91088447867
10430204021
11200925715
121000a87b1
136b1883c0
14411c7c69
1527b7ccd1
hex19a46475

430204021 has 32 divisors (see below), whose sum is σ = 491647968. Its totient is φ = 373800960.

The previous prime is 430203997. The next prime is 430204031. The reversal of 430204021 is 120402034.

It can be written as a sum of positive squares in 16 ways, for example, as 258855921 + 171348100 = 16089^2 + 13090^2 .

It is not a de Polignac number, because 430204021 - 29 = 430203509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430203986 and 430204004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430204031) 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, 2740075 + ... + 2740231.

It is an arithmetic number, because the mean of its divisors is an integer number (15363999).

Almost surely, 2430204021 is an apocalyptic number.

430204021 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

430204021 is a deficient number, since it is larger than the sum of its proper divisors (61443947).

430204021 is a wasteful number, since it uses less digits than its factorization.

430204021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 430204021 is about 20741.3601530854. The cubic root of 430204021 is about 754.9035860686.

Adding to 430204021 its reverse (120402034), we get a palindrome (550606055).

The spelling of 430204021 in words is "four hundred thirty million, two hundred four thousand, twenty-one".

Divisors: 1 13 41 53 97 157 533 689 1261 2041 2173 3977 5141 6437 8321 15229 28249 51701 66833 83681 108173 197977 210781 341161 624389 807137 2740153 4435093 8117057 10492781 33092617 430204021