Search a number
-
+
38000340 = 2235571117
BaseRepresentation
bin1001000011110…
…1011011010100
32122111121200000
42100331123110
534212002330
63434251300
7640666110
oct220753324
978447600
1038000340
111a4a5244
1210886b30
137b46611
145092740
153509560
hex243d6d4

38000340 has 144 divisors (see below), whose sum is σ = 136735872. Its totient is φ = 8678016.

The previous prime is 38000293. The next prime is 38000351. The reversal of 38000340 is 4300083.

38000340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33462 + ... + 34578.

Almost surely, 238000340 is an apocalyptic number.

38000340 is a gapful number since it is divisible by the number (30) 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 38000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68367936).

38000340 is an abundant number, since it is smaller than the sum of its proper divisors (98735532).

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

38000340 is a wasteful number, since it uses less digits than its factorization.

38000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38000340 is about 6164.4415805489. The cubic root of 38000340 is about 336.1985433713.

The spelling of 38000340 in words is "thirty-eight million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1117 1134 1215 1260 1620 1701 1890 2234 2268 2430 2835 3351 3402 3780 4468 4860 5585 5670 6702 6804 7819 8505 10053 11170 11340 13404 15638 16755 17010 20106 22340 23457 30159 31276 33510 34020 39095 40212 46914 50265 60318 67020 70371 78190 90477 93828 100530 117285 120636 140742 150795 156380 180954 201060 211113 234570 271431 281484 301590 351855 361908 422226 452385 469140 542862 603180 633339 703710 844452 904770 1055565 1085724 1266678 1357155 1407420 1809540 1900017 2111130 2533356 2714310 3166695 3800034 4222260 5428620 6333390 7600068 9500085 12666780 19000170 38000340