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3812940 = 2233523307
BaseRepresentation
bin1110100010111001001100
321011201101000
432202321030
51434003230
6213420300
744260305
oct16427114
97151330
103812940
11217479a
12133a690
13a366a1
147137ac
15504b60
hex3a2e4c

3812940 has 96 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 969408.

The previous prime is 3812923. The next prime is 3812951. The reversal of 3812940 is 492183.

3812940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38129402 = 29077022887200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

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, 12267 + ... + 12573.

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

Almost surely, 23812940 is an apocalyptic number.

3812940 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 3812940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209280).

3812940 is an abundant number, since it is smaller than the sum of its proper divisors (8605620).

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

3812940 is a wasteful number, since it uses less digits than its factorization.

3812940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3812940 is about 1952.6750881803. The cubic root of 3812940 is about 156.2260037816.

It can be divided in two parts, 381 and 2940, that added together give a triangular number (3321 = T81).

The spelling of 3812940 in words is "three million, eight hundred twelve thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 307 345 414 460 540 614 621 690 828 921 1035 1228 1242 1380 1535 1842 2070 2484 2763 3070 3105 3684 4140 4605 5526 6140 6210 7061 8289 9210 11052 12420 13815 14122 16578 18420 21183 27630 28244 33156 35305 41445 42366 55260 63549 70610 82890 84732 105915 127098 141220 165780 190647 211830 254196 317745 381294 423660 635490 762588 953235 1270980 1906470 3812940