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38000349 = 32131167193
BaseRepresentation
bin1001000011110…
…1011011011101
32122111121200100
42100331123131
534212002344
63434251313
7640666122
oct220753335
978447610
1038000349
111a4a5252
1210886b39
137b4661a
145092749
153509569
hex243d6dd

38000349 has 24 divisors (see below), whose sum is σ = 55927872. Its totient is φ = 24860160.

The previous prime is 38000293. The next prime is 38000351. The reversal of 38000349 is 94300083.

It is not a de Polignac number, because 38000349 - 29 = 37999837 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 (38000359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196797 + ... + 196989.

It is an arithmetic number, because the mean of its divisors is an integer number (2330328).

Almost surely, 238000349 is an apocalyptic number.

It is an amenable number.

38000349 is a deficient number, since it is larger than the sum of its proper divisors (17927523).

38000349 is a wasteful number, since it uses less digits than its factorization.

38000349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 38000349 is about 6164.4423105420. The cubic root of 38000349 is about 336.1985699131.

The spelling of 38000349 in words is "thirty-eight million, three hundred forty-nine", and thus it is an aban number.

Divisors: 1 3 9 131 167 193 393 501 579 1179 1503 1737 21877 25283 32231 65631 75849 96693 196893 227547 290079 4222261 12666783 38000349