Search a number
-
+
430133009 = 41731371049
BaseRepresentation
bin11001101000110…
…100111100010001
31002222101000120012
4121220310330101
51340103224014
6110403124305
713442033045
oct3150647421
91088330505
10430133009
11200887329
12100073695
136b161c97
14411aa025
1527b66c3e
hex19a34f11

430133009 has 16 divisors (see below), whose sum is σ = 450349200. Its totient is φ = 410480640.

The previous prime is 430133003. The next prime is 430133023. The reversal of 430133009 is 900331034.

It can be written as a sum of positive squares in 8 ways, for example, as 483025 + 429649984 = 695^2 + 20728^2 .

It is a cyclic number.

It is not a de Polignac number, because 430133009 - 220 = 429084433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (430133003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409517 + ... + 410565.

It is an arithmetic number, because the mean of its divisors is an integer number (28146825).

Almost surely, 2430133009 is an apocalyptic number.

It is an amenable number.

430133009 is a deficient number, since it is larger than the sum of its proper divisors (20216191).

430133009 is a wasteful number, since it uses less digits than its factorization.

430133009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 430133009 is about 20739.6482371327. The cubic root of 430133009 is about 754.8620475112.

The spelling of 430133009 in words is "four hundred thirty million, one hundred thirty-three thousand, nine".

Divisors: 1 41 73 137 1049 2993 5617 10001 43009 76577 143713 410041 3139657 5892233 10491049 430133009