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38204361 = 32135361101
BaseRepresentation
bin1001000110111…
…1001111001001
32122212222112100
42101233033021
534240014421
63442504013
7642505656
oct221571711
978788470
1038204361
111a624558
1210965009
137bb8440
145106c2d
153549c26
hex246f3c9

38204361 has 48 divisors (see below), whose sum is σ = 62152272. Its totient is φ = 22464000.

The previous prime is 38204297. The next prime is 38204363. The reversal of 38204361 is 16340283.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 308025 + 37896336 = 555^2 + 6156^2 .

It is not a de Polignac number, because 38204361 - 26 = 38204297 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38204363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378211 + ... + 378311.

It is an arithmetic number, because the mean of its divisors is an integer number (1294839).

Almost surely, 238204361 is an apocalyptic number.

It is an amenable number.

38204361 is a deficient number, since it is larger than the sum of its proper divisors (23947911).

38204361 is a wasteful number, since it uses less digits than its factorization.

38204361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38204361 is about 6180.9676426916. The cubic root of 38204361 is about 336.7991447828.

The spelling of 38204361 in words is "thirty-eight million, two hundred four thousand, three hundred sixty-one".

Divisors: 1 3 9 13 39 53 61 101 117 159 183 303 477 549 689 793 909 1313 2067 2379 3233 3939 5353 6161 6201 7137 9699 11817 16059 18483 29097 42029 48177 55449 69589 80093 126087 208767 240279 326533 378261 626301 720837 979599 2938797 4244929 12734787 38204361