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429553345 = 51397193353
BaseRepresentation
bin11001100110100…
…111011011000001
31002221021120102011
4121212213123001
51334431201340
6110342452521
713434100054
oct3146473301
91087246364
10429553345
11200520871
12bba34141
136acbb1a0
1441098a9b
1527aa00ea
hex199a76c1

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".

Divisors: 1 5 13 65 97 193 353 485 965 1261 1765 2509 4589 6305 12545 18721 22945 34241 68129 93605 171205 243373 340645 445133 885677 1216865 2225665 4428385 6608513 33042565 85910669 429553345