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3806676 = 223431379
BaseRepresentation
bin1110100001010111010100
321011101210000
432201113110
51433303201
6213331300
744233116
oct16412724
97141700
103806676
112170015
121336b30
13a33893
147113b6
15502d86
hex3a15d4

3806676 has 60 divisors (see below), whose sum is σ = 10299520. Its totient is φ = 1224720.

The previous prime is 3806659. The next prime is 3806683. The reversal of 3806676 is 6766083.

It is a happy number.

3806676 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3806676.

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 9855 + ... + 10233.

Almost surely, 23806676 is an apocalyptic number.

3806676 is a gapful number since it is divisible by the number (36) 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 3806676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149760).

3806676 is an abundant number, since it is smaller than the sum of its proper divisors (6492844).

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

3806676 is a wasteful number, since it uses less digits than its factorization.

3806676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3806676 is about 1951.0704754057. The cubic root of 3806676 is about 156.1404061354.

It can be divided in two parts, 380 and 6676, that added together give a square (7056 = 842).

The spelling of 3806676 in words is "three million, eight hundred six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 379 558 758 837 1116 1137 1516 1674 2274 2511 3348 3411 4548 5022 6822 10044 10233 11749 13644 20466 23498 30699 35247 40932 46996 61398 70494 105741 122796 140988 211482 317223 422964 634446 951669 1268892 1903338 3806676