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3677868 = 2232192283
BaseRepresentation
bin1110000001111010101100
320220212002100
432001322230
51420142433
6210455100
743155435
oct16017254
96825070
103677868
112092267
121294490
139ba06c
146ba48c
154c9b13
hex381eac

3677868 has 54 divisors (see below), whose sum is σ = 9846564. Its totient is φ = 1157328.

The previous prime is 3677857. The next prime is 3677881. The reversal of 3677868 is 8687763.

3677868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 17 ways as a sum of consecutive naturals, for example, 12855 + ... + 13137.

Almost surely, 23677868 is an apocalyptic number.

3677868 is a gapful number since it is divisible by the number (38) 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 3677868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923282).

3677868 is an abundant number, since it is smaller than the sum of its proper divisors (6168696).

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

3677868 is a wasteful number, since it uses less digits than its factorization.

3677868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 3677868 is about 1917.7768379037. The cubic root of 3677868 is about 154.3590318789.

The spelling of 3677868 in words is "three million, six hundred seventy-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 283 342 361 566 684 722 849 1083 1132 1444 1698 2166 2547 3249 3396 4332 5094 5377 6498 10188 10754 12996 16131 21508 32262 48393 64524 96786 102163 193572 204326 306489 408652 612978 919467 1225956 1838934 3677868