Search a number
-
+
38194104 = 233131719379
BaseRepresentation
bin1001000110110…
…0101110111000
32122212110110110
42101230232320
534234202404
63442344320
7642434034
oct221545670
978773413
1038194104
111a617883
121095b0a0
137bb3880
1451031c4
153546b89
hex246cbb8

38194104 has 128 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 10450944.

The previous prime is 38194103. The next prime is 38194129. The reversal of 38194104 is 40149183.

It is a happy number.

38194104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38194103) 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 31 ways as a sum of consecutive naturals, for example, 100587 + ... + 100965.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 238194104 is an apocalyptic number.

38194104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38194104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

38194104 is an abundant number, since it is smaller than the sum of its proper divisors (76717896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38194104 is a wasteful number, since it uses less digits than its factorization.

38194104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 38194104 is about 6180.1378625400. The cubic root of 38194104 is about 336.7690011208.

The spelling of 38194104 in words is "thirty-eight million, one hundred ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 19 24 26 34 38 39 51 52 57 68 76 78 102 104 114 136 152 156 204 221 228 247 312 323 379 408 442 456 494 646 663 741 758 884 969 988 1137 1292 1326 1482 1516 1768 1938 1976 2274 2584 2652 2964 3032 3876 4199 4548 4927 5304 5928 6443 7201 7752 8398 9096 9854 12597 12886 14402 14781 16796 19329 19708 21603 25194 25772 28804 29562 33592 38658 39416 43206 50388 51544 57608 59124 77316 83759 86412 93613 100776 118248 122417 154632 167518 172824 187226 244834 251277 280839 335036 367251 374452 489668 502554 561678 670072 734502 748904 979336 1005108 1123356 1469004 1591421 2010216 2246712 2938008 3182842 4774263 6365684 9548526 12731368 19097052 38194104