Search a number
-
+
30388500 = 2233532251
BaseRepresentation
bin111001111101…
…1000100010100
32010011220012000
41303323010110
530234413000
63003155300
7516204132
oct163730424
963156160
1030388500
111617636a
12a215b30
1363aca7c
144070752
152a04000
hex1cfb114

30388500 has 96 divisors (see below), whose sum is σ = 98367360. Its totient is φ = 8100000.

The previous prime is 30388493. The next prime is 30388531. The reversal of 30388500 is 588303.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 12375 + ... + 14625.

It is an arithmetic number, because the mean of its divisors is an integer number (1024660).

Almost surely, 230388500 is an apocalyptic number.

30388500 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 30388500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49183680).

30388500 is an abundant number, since it is smaller than the sum of its proper divisors (67978860).

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

30388500 is a wasteful number, since it uses less digits than its factorization.

30388500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30388500 is about 5512.5765300810. The cubic root of 30388500 is about 312.0587906964.

The spelling of 30388500 in words is "thirty million, three hundred eighty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2251 2700 3375 4500 4502 6750 6753 9004 11255 13500 13506 20259 22510 27012 33765 40518 45020 56275 60777 67530 81036 101295 112550 121554 135060 168825 202590 225100 243108 281375 303885 337650 405180 506475 562750 607770 675300 844125 1012950 1125500 1215540 1519425 1688250 2025900 2532375 3038850 3376500 5064750 6077700 7597125 10129500 15194250 30388500