Base | Representation |
---|---|
bin | 11001100110100… |
… | …111011011000001 |
3 | 1002221021120102011 |
4 | 121212213123001 |
5 | 1334431201340 |
6 | 110342452521 |
7 | 13434100054 |
oct | 3146473301 |
9 | 1087246364 |
10 | 429553345 |
11 | 200520871 |
12 | bba34141 |
13 | 6acbb1a0 |
14 | 41098a9b |
15 | 27aa00ea |
hex | 199a76c1 |
429553345 has 32 divisors (see below), whose sum is σ = 565340832. Its totient is φ = 311427072.
The previous prime is 429553321. The next prime is 429553373. The reversal of 429553345 is 543355924.
It can be written as a sum of positive squares in 16 ways, for example, as 249671601 + 179881744 = 15801^2 + 13412^2 .
It is a 4-Lehmer number, since φ(429553345) divides (429553345-1)4.
It is a cyclic number.
It is a Carmichael number.
It is not a de Polignac number, because 429553345 - 221 = 427456193 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 429553298 and 429553307.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216689 + ... + 1217041.
It is an arithmetic number, because the mean of its divisors is an integer number (17666901).
It is a Poulet number, since it divides 2429553344-1.
Almost surely, 2429553345 is an apocalyptic number.
It is an amenable number.
429553345 is a deficient number, since it is larger than the sum of its proper divisors (135787487).
429553345 is a wasteful number, since it uses less digits than its factorization.
429553345 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 661.
The product of its digits is 324000, while the sum is 40.
The square root of 429553345 is about 20725.6687467498. The cubic root of 429553345 is about 754.5228012373.
The spelling of 429553345 in words is "four hundred twenty-nine million, five hundred fifty-three thousand, three hundred forty-five".
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