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3814020 = 2233571009
BaseRepresentation
bin1110100011001010000100
321011202212000
432203022010
51434022040
6213425300
744263410
oct16431204
97152760
103814020
112175591
12133b230
13a37022
14713d40
15505130
hex3a3284

3814020 has 96 divisors (see below), whose sum is σ = 13574400. Its totient is φ = 870912.

The previous prime is 3814009. The next prime is 3814033. The reversal of 3814020 is 204183.

It is a happy number.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3813984 and 3814002.

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, 3276 + ... + 4284.

It is an arithmetic number, because the mean of its divisors is an integer number (141400).

Almost surely, 23814020 is an apocalyptic number.

3814020 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 3814020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787200).

3814020 is an abundant number, since it is smaller than the sum of its proper divisors (9760380).

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

3814020 is a wasteful number, since it uses less digits than its factorization.

3814020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

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

The square root of 3814020 is about 1952.9516123038. The cubic root of 3814020 is about 156.2407525194.

The spelling of 3814020 in words is "three million, eight hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1009 1260 1890 2018 3027 3780 4036 5045 6054 7063 9081 10090 12108 14126 15135 18162 20180 21189 27243 28252 30270 35315 36324 42378 45405 54486 60540 63567 70630 84756 90810 105945 108972 127134 136215 141260 181620 190701 211890 254268 272430 317835 381402 423780 544860 635670 762804 953505 1271340 1907010 3814020