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3864780 = 2233517421
BaseRepresentation
bin1110101111100011001100
321021100111000
432233203030
51442133110
6214500300
744564403
oct16574314
97240430
103864780
1121aa737
121364690
13a5416a
1472863a
155151c0
hex3af8cc

3864780 has 96 divisors (see below), whose sum is σ = 12761280. Its totient is φ = 967680.

The previous prime is 3864767. The next prime is 3864781. The reversal of 3864780 is 874683.

3864780 is a `hidden beast` number, since 3 + 8 + 647 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864781) by changing a digit.

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, 8970 + ... + 9390.

It is an arithmetic number, because the mean of its divisors is an integer number (132930).

Almost surely, 23864780 is an apocalyptic number.

3864780 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 3864780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380640).

3864780 is an abundant number, since it is smaller than the sum of its proper divisors (8896500).

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

3864780 is a wasteful number, since it uses less digits than its factorization.

3864780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3864780 is about 1965.9043720385. The cubic root of 3864780 is about 156.9308254092.

The spelling of 3864780 in words is "three million, eight hundred sixty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 421 459 510 540 612 765 842 918 1020 1263 1530 1684 1836 2105 2295 2526 3060 3789 4210 4590 5052 6315 7157 7578 8420 9180 11367 12630 14314 15156 18945 21471 22734 25260 28628 35785 37890 42942 45468 56835 64413 71570 75780 85884 107355 113670 128826 143140 193239 214710 227340 257652 322065 386478 429420 644130 772956 966195 1288260 1932390 3864780