Search a number
-
+
3828780 = 2232589239
BaseRepresentation
bin1110100110110000101100
321012112002200
432212300230
51440010110
6214021500
744354424
oct16466054
97175080
103828780
11218568a
121347890
13a40967
14719484
155096c0
hex3a6c2c

3828780 has 72 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1005312.

The previous prime is 3828751. The next prime is 3828821. The reversal of 3828780 is 878283.

3828780 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15901 + ... + 16139.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 23828780 is an apocalyptic number.

3828780 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 3828780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3828780 is an abundant number, since it is smaller than the sum of its proper divisors (7964820).

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

3828780 is a wasteful number, since it uses less digits than its factorization.

3828780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3828780 is about 1956.7268588130. The cubic root of 3828780 is about 156.4420401417.

The spelling of 3828780 in words is "three million, eight hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 239 267 356 445 478 534 717 801 890 956 1068 1195 1335 1434 1602 1780 2151 2390 2670 2868 3204 3585 4005 4302 4780 5340 7170 8010 8604 10755 14340 16020 21271 21510 42542 43020 63813 85084 106355 127626 191439 212710 255252 319065 382878 425420 638130 765756 957195 1276260 1914390 3828780