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3944820 = 22351143139
BaseRepresentation
bin1111000011000101110100
321102102021110
433003011310
52002213240
6220315020
745346635
oct17030564
97372243
103944820
112254890
1213a2a70
13a81719
1474988c
1552dc80
hex3c3174

3944820 has 96 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 927360.

The previous prime is 3944813. The next prime is 3944821. The reversal of 3944820 is 284493.

It is a happy number.

3944820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28311 + ... + 28449.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

Almost surely, 23944820 is an apocalyptic number.

3944820 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 3944820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209280).

3944820 is an abundant number, since it is smaller than the sum of its proper divisors (8473740).

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

3944820 is a wasteful number, since it uses less digits than its factorization.

3944820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3944820 is about 1986.1570934848. The cubic root of 3944820 is about 158.0067828098.

The spelling of 3944820 in words is "three million, nine hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 139 165 172 215 220 258 278 330 417 430 473 516 556 645 660 695 834 860 946 1290 1390 1419 1529 1668 1892 2085 2365 2580 2780 2838 3058 4170 4587 4730 5676 5977 6116 7095 7645 8340 9174 9460 11954 14190 15290 17931 18348 22935 23908 28380 29885 30580 35862 45870 59770 65747 71724 89655 91740 119540 131494 179310 197241 262988 328735 358620 394482 657470 788964 986205 1314940 1972410 3944820