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40430205 = 3352329449
BaseRepresentation
bin1001101000111…
…0101001111101
32211002001211000
42122032221331
540322231310
64002320513
71000436214
oct232165175
984061730
1040430205
11209048a2
1211659139
1384b75ca
14552607b
1538394c0
hex268ea7d

40430205 has 64 divisors (see below), whose sum is σ = 77760000. Its totient is φ = 19869696.

The previous prime is 40430197. The next prime is 40430209. The reversal of 40430205 is 50203404.

It is a happy number.

It is not a de Polignac number, because 40430205 - 23 = 40430197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89821 + ... + 90269.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 240430205 is an apocalyptic number.

40430205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40430205 is a deficient number, since it is larger than the sum of its proper divisors (37329795).

40430205 is a wasteful number, since it uses less digits than its factorization.

40430205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40430205 is about 6358.4750530296. The cubic root of 40430205 is about 343.2168869142.

Adding to 40430205 its reverse (50203404), we get a palindrome (90633609).

The spelling of 40430205 in words is "forty million, four hundred thirty thousand, two hundred five".

Divisors: 1 3 5 9 15 23 27 29 45 69 87 115 135 145 207 261 345 435 449 621 667 783 1035 1305 1347 2001 2245 3105 3335 3915 4041 6003 6735 10005 10327 12123 13021 18009 20205 30015 30981 39063 51635 60615 65105 90045 92943 117189 154905 195315 278829 299483 351567 464715 585945 898449 1394145 1497415 1757835 2695347 4492245 8086041 13476735 40430205