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204034401 = 3229781741
BaseRepresentation
bin11000010100101…
…01000101100001
3112012221000120200
430022111011201
5404213100101
632125055413
75025156324
oct1412250541
9465830520
10204034401
11a519907a
12583b7569
133336a71c
141d1527bb
1512da4986
hexc295161

204034401 has 12 divisors (see below), whose sum is σ = 304879380. Its totient is φ = 131332320.

The previous prime is 204034399. The next prime is 204034417. The reversal of 204034401 is 104430402.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 165096801 = 6240^2 + 12849^2 .

It is not a de Polignac number, because 204034401 - 21 = 204034399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204034301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390610 + ... + 391131.

It is an arithmetic number, because the mean of its divisors is an integer number (25406615).

Almost surely, 2204034401 is an apocalyptic number.

It is an amenable number.

204034401 is a deficient number, since it is larger than the sum of its proper divisors (100844979).

204034401 is a wasteful number, since it uses less digits than its factorization.

204034401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781776 (or 781773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204034401 is about 14284.0610821993. The cubic root of 204034401 is about 588.7096197980.

Adding to 204034401 its reverse (104430402), we get a palindrome (308464803).

The spelling of 204034401 in words is "two hundred four million, thirty-four thousand, four hundred one".

Divisors: 1 3 9 29 87 261 781741 2345223 7035669 22670489 68011467 204034401