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430054253 = 1722322997
BaseRepresentation
bin11001101000100…
…001101101101101
31002222020000112022
4121220201231231
51340043214003
6110401315525
713441254326
oct3150415555
91088200468
10430054253
11200833142
12100035ba5
136b135195
144118944d
1527b4d738
hex19a21b6d

430054253 has 36 divisors (see below), whose sum is σ = 499126740. Its totient is φ = 369954816.

The previous prime is 430054241. The next prime is 430054259. The reversal of 430054253 is 352450034.

It can be written as a sum of positive squares in 6 ways, for example, as 33327529 + 396726724 = 5773^2 + 19918^2 .

It is not a de Polignac number, because 430054253 - 24 = 430054237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430054259) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4433501 + ... + 4433597.

Almost surely, 2430054253 is an apocalyptic number.

It is an amenable number.

430054253 is a deficient number, since it is larger than the sum of its proper divisors (69072487).

430054253 is a wasteful number, since it uses less digits than its factorization.

430054253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 430054253 is about 20737.7494680594. The cubic root of 430054253 is about 754.8159737441.

The spelling of 430054253 in words is "four hundred thirty million, fifty-four thousand, two hundred fifty-three".

Divisors: 1 17 23 29 97 289 391 493 529 667 1649 2231 2813 6647 8381 8993 11339 15341 28033 37927 47821 51313 64699 152881 192763 260797 644759 812957 872321 1099883 1488077 4433549 14829457 18698011 25297309 430054253