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3821040 = 243352961
BaseRepresentation
bin1110100100110111110000
321012010111000
432210313300
51434233130
6213522000
744323026
oct16446760
97163430
103821040
11217a893
121343300
13a3a292
14716716
15507260
hex3a4df0

3821040 has 160 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 967680.

The previous prime is 3821009. The next prime is 3821057. The reversal of 3821040 is 401283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62610 + ... + 62670.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

Almost surely, 23821040 is an apocalyptic number.

3821040 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 3821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

3821040 is an abundant number, since it is smaller than the sum of its proper divisors (10017360).

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

3821040 is a wasteful number, since it uses less digits than its factorization.

3821040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3821040 is about 1954.7480656085. The cubic root of 3821040 is about 156.3365515144.

The spelling of 3821040 in words is "three million, eight hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 61 72 80 87 90 108 116 120 122 135 144 145 174 180 183 216 232 240 244 261 270 290 305 348 360 366 432 435 464 488 522 540 549 580 610 696 720 732 783 870 915 976 1044 1080 1098 1160 1220 1305 1392 1464 1566 1647 1740 1769 1830 2088 2160 2196 2320 2440 2610 2745 2928 3132 3294 3480 3538 3660 3915 4176 4392 4880 5220 5307 5490 6264 6588 6960 7076 7320 7830 8235 8784 8845 10440 10614 10980 12528 13176 14152 14640 15660 15921 16470 17690 20880 21228 21960 26352 26535 28304 31320 31842 32940 35380 42456 43920 47763 53070 62640 63684 65880 70760 79605 84912 95526 106140 127368 131760 141520 159210 191052 212280 238815 254736 318420 382104 424560 477630 636840 764208 955260 1273680 1910520 3821040