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3922380 = 22325711283
BaseRepresentation
bin1110111101100111001100
321101021111100
432331213030
52001004010
6220023100
745224340
oct16754714
97337440
103922380
112239a40
121391a90
13a74447
14741620
155272c0
hex3bd9cc

3922380 has 144 divisors (see below), whose sum is σ = 14886144. Its totient is φ = 812160.

The previous prime is 3922367. The next prime is 3922403. The reversal of 3922380 is 832293.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13719 + ... + 14001.

It is an arithmetic number, because the mean of its divisors is an integer number (103376).

Almost surely, 23922380 is an apocalyptic number.

3922380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1980×1981.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3922380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443072).

3922380 is an abundant number, since it is smaller than the sum of its proper divisors (10963764).

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

3922380 is a wasteful number, since it uses less digits than its factorization.

3922380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3922380 is about 1980.4999368846. The cubic root of 3922380 is about 157.7066071628.

It can be divided in two parts, 392 and 2380, that added together give a palindrome (2772).

The spelling of 3922380 in words is "three million, nine hundred twenty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 283 308 315 330 385 396 420 462 495 566 630 660 693 770 849 924 990 1132 1155 1260 1386 1415 1540 1698 1980 1981 2310 2547 2772 2830 3113 3396 3465 3962 4245 4620 5094 5660 5943 6226 6930 7924 8490 9339 9905 10188 11886 12452 12735 13860 15565 16980 17829 18678 19810 21791 23772 25470 28017 29715 31130 35658 37356 39620 43582 46695 50940 56034 59430 62260 65373 71316 87164 89145 93390 108955 112068 118860 130746 140085 178290 186780 196119 217910 261492 280170 326865 356580 392238 435820 560340 653730 784476 980595 1307460 1961190 3922380