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3965676 = 22311132311
BaseRepresentation
bin1111001000001011101100
321110110212220
433020023230
52003400201
6220555340
745464511
oct17101354
97413786
103965676
112269520
1213b2b50
13a8b070
14753308
15535036
hex3c82ec

3965676 has 48 divisors (see below), whose sum is σ = 10875648. Its totient is φ = 1108800.

The previous prime is 3965659. The next prime is 3965681. The reversal of 3965676 is 6765693.

3965676 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 2×39656762 = 31453172273952, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 561 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (226576).

Almost surely, 23965676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437824).

3965676 is an abundant number, since it is smaller than the sum of its proper divisors (6909972).

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

3965676 is a wasteful number, since it uses less digits than its factorization.

3965676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2340 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 3965676 is about 1991.4005122024. The cubic root of 3965676 is about 158.2847506223.

The spelling of 3965676 in words is "three million, nine hundred sixty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 2311 4622 6933 9244 13866 25421 27732 30043 50842 60086 76263 90129 101684 120172 152526 180258 305052 330473 360516 660946 991419 1321892 1982838 3965676