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407434005 = 325111943321
BaseRepresentation
bin11000010010001…
…111001100010101
31001101122210101100
4120102033030111
51313300342010
6104232420313
713045063146
oct3022171425
91041583340
10407434005
11199a93220
12b4547699
1366545214
143c17bacd
1525b812c0
hex1848f315

407434005 has 48 divisors (see below), whose sum is σ = 810987840. Its totient is φ = 187142400.

The previous prime is 407433991. The next prime is 407434007. The reversal of 407434005 is 500434704.

It is not a de Polignac number, because 407434005 - 24 = 407433989 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 407434005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407434007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12256 + ... + 31065.

It is an arithmetic number, because the mean of its divisors is an integer number (16895580).

Almost surely, 2407434005 is an apocalyptic number.

407434005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407434005 is a deficient number, since it is larger than the sum of its proper divisors (403553835).

407434005 is a wasteful number, since it uses less digits than its factorization.

407434005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43362 (or 43359 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 407434005 is about 20184.9945504080. The cubic root of 407434005 is about 741.3428290098.

Adding to 407434005 its reverse (500434704), we get a palindrome (907868709).

The spelling of 407434005 in words is "four hundred seven million, four hundred thirty-four thousand, five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 165 171 209 285 495 627 855 1045 1881 3135 9405 43321 129963 216605 389889 476531 649815 823099 1429593 1949445 2382655 2469297 4115495 4288779 7147965 7407891 9054089 12346485 21443895 27162267 37039455 45270445 81486801 135811335 407434005