Search a number
-
+
3838009140 = 2232573046039
BaseRepresentation
bin1110010011000011…
…0101111100110100
3100220110220001202200
43210300311330310
530330012243030
61432501504500
7164052353010
oct34460657464
910813801680
103838009140
11169a502089
128b1412130
134921b4a34
14285a27540
15176e27d60
hexe4c35f34

3838009140 has 72 divisors (see below), whose sum is σ = 13305102720. Its totient is φ = 877258944.

The previous prime is 3838009121. The next prime is 3838009169. The reversal of 3838009140 is 419008383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3838009095 and 3838009104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521760 + ... + 1524279.

Almost surely, 23838009140 is an apocalyptic number.

3838009140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3838009140 is an abundant number, since it is smaller than the sum of its proper divisors (9467093580).

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

3838009140 is a wasteful number, since it uses less digits than its factorization.

3838009140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046061 (or 3046056 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3838009140 is about 61951.6677741609. The cubic root of 3838009140 is about 1565.6763863039.

The spelling of 3838009140 in words is "three billion, eight hundred thirty-eight million, nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3046039 6092078 9138117 12184156 15230195 18276234 21322273 27414351 30460390 36552468 42644546 45690585 54828702 60920780 63966819 85289092 91381170 106611365 109657404 127933638 137071755 182762340 191900457 213222730 255867276 274143510 319834095 383800914 426445460 548287020 639668190 767601828 959502285 1279336380 1919004570 3838009140