Search a number
-
+
3984380 = 2254143113
BaseRepresentation
bin1111001100101111111100
321111102112122
433030233330
52010000010
6221222112
745603161
oct17145774
97442478
103984380
112281584
121401938
13a9672a
1475a068
1553a855
hex3ccbfc

3984380 has 48 divisors (see below), whose sum is σ = 8848224. Its totient is φ = 1505280.

The previous prime is 3984347. The next prime is 3984389. The reversal of 3984380 is 834893.

It is a self number, because there is not a number n which added to its sum of digits gives 3984380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35204 + ... + 35316.

It is an arithmetic number, because the mean of its divisors is an integer number (184338).

Almost surely, 23984380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424112).

3984380 is an abundant number, since it is smaller than the sum of its proper divisors (4863844).

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

3984380 is a wasteful number, since it uses less digits than its factorization.

3984380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3984380 is about 1996.0911802821. The cubic root of 3984380 is about 158.5332089491.

The spelling of 3984380 in words is "three million, nine hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 43 82 86 113 164 172 205 215 226 410 430 452 565 820 860 1130 1763 2260 3526 4633 4859 7052 8815 9266 9718 17630 18532 19436 23165 24295 35260 46330 48590 92660 97180 199219 398438 796876 996095 1992190 3984380