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3842676 = 2232173617
BaseRepresentation
bin1110101010001001110100
321020020011100
432222021310
51440431201
6214210100
744443065
oct16521164
97206140
103842676
112195072
121353930
13a47096
1472056c
1550d886
hex3aa274

3842676 has 36 divisors (see below), whose sum is σ = 9785412. Its totient is φ = 1271424.

The previous prime is 3842669. The next prime is 3842677. The reversal of 3842676 is 6762483.

3842676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1664100 + 2178576 = 1290^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 37 + 87 + 44 + 2 + 66 + 75 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3842676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842677) 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 11 ways as a sum of consecutive naturals, for example, 5920 + ... + 6536.

It is an arithmetic number, because the mean of its divisors is an integer number (271817).

Almost surely, 23842676 is an apocalyptic number.

3842676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3842676 is an abundant number, since it is smaller than the sum of its proper divisors (5942736).

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

3842676 is a wasteful number, since it uses less digits than its factorization.

3842676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 795 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3842676 is about 1960.2744705780. The cubic root of 3842676 is about 156.6310728454.

The spelling of 3842676 in words is "three million, eight hundred forty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 617 692 1038 1234 1557 1851 2076 2468 3114 3702 5553 6228 7404 11106 22212 106741 213482 320223 426964 640446 960669 1280892 1921338 3842676