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3846780 = 2232574371
BaseRepresentation
bin1110101011001001111100
321020102210100
432223021330
51441044110
6214241100
744461050
oct16531174
97212710
103846780
112198163
121356190
13a48c02
14721c60
1550ebc0
hex3ab27c

3846780 has 144 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 846720.

The previous prime is 3846769. The next prime is 3846833. The reversal of 3846780 is 876483.

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

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 47 ways as a sum of consecutive naturals, for example, 54145 + ... + 54215.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

Almost surely, 23846780 is an apocalyptic number.

3846780 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 3846780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912).

3846780 is an abundant number, since it is smaller than the sum of its proper divisors (9991044).

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

3846780 is a wasteful number, since it uses less digits than its factorization.

3846780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

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

The square root of 3846780 is about 1961.3209834191. The cubic root of 3846780 is about 156.6868139675.

The spelling of 3846780 in words is "three million, eight hundred forty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 71 84 86 90 105 126 129 140 142 172 180 210 213 215 252 258 284 301 315 355 387 420 426 430 497 516 602 630 639 645 710 774 852 860 903 994 1065 1204 1260 1278 1290 1420 1491 1505 1548 1806 1935 1988 2130 2485 2556 2580 2709 2982 3010 3053 3195 3612 3870 4260 4473 4515 4970 5418 5964 6020 6106 6390 7455 7740 8946 9030 9159 9940 10836 12212 12780 13545 14910 15265 17892 18060 18318 21371 22365 27090 27477 29820 30530 36636 42742 44730 45795 54180 54954 61060 64113 85484 89460 91590 106855 109908 128226 137385 183180 192339 213710 256452 274770 320565 384678 427420 549540 641130 769356 961695 1282260 1923390 3846780