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204414327 = 33134712391
BaseRepresentation
bin11000010111100…
…01110101110111
3112020122022202000
430023301311313
5404312224302
632141150343
75031331065
oct1413616567
9466568660
10204414327
11a5428567
125855b3b3
1333471630
141d211035
1512e2c31c
hexc2f1d77

204414327 has 32 divisors (see below), whose sum is σ = 333096960. Its totient is φ = 123107040.

The previous prime is 204414299. The next prime is 204414449. The reversal of 204414327 is 723414402.

It is not a de Polignac number, because 204414327 - 26 = 204414263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 204414327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204414827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10302 + ... + 22692.

It is an arithmetic number, because the mean of its divisors is an integer number (10409280).

Almost surely, 2204414327 is an apocalyptic number.

204414327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

204414327 is a deficient number, since it is larger than the sum of its proper divisors (128682633).

204414327 is a wasteful number, since it uses less digits than its factorization.

204414327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12460 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 204414327 is about 14297.3538460794. The cubic root of 204414327 is about 589.0747990786.

Adding to 204414327 its reverse (723414402), we get a palindrome (927828729).

The spelling of 204414327 in words is "two hundred four million, four hundred fourteen thousand, three hundred twenty-seven".

Divisors: 1 3 9 13 27 39 47 117 141 351 423 611 1269 1833 5499 12391 16497 37173 111519 161083 334557 483249 582377 1449747 1747131 4349241 5241393 7570901 15724179 22712703 68138109 204414327