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3689844 = 2232329461
BaseRepresentation
bin1110000100110101110100
320221110111220
432010311310
51421033334
6211030340
743235364
oct16046564
96843456
103689844
1120a0264
12129b3b0
139c2652
146c09a4
154cd449
hex384d74

3689844 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1133440.

The previous prime is 3689843. The next prime is 3689863. The reversal of 3689844 is 4489863.

3689844 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 2×36898442 = 27229897488672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3689796 and 3689805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689843) 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 15 ways as a sum of consecutive naturals, for example, 7774 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 23689844 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 3689844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3689844 is an abundant number, since it is smaller than the sum of its proper divisors (5624076).

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

3689844 is a wasteful number, since it uses less digits than its factorization.

3689844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3689844 is about 1920.8966656226. The cubic root of 3689844 is about 154.5263934130.

The spelling of 3689844 in words is "three million, six hundred eighty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 461 667 922 1334 1383 1844 2001 2668 2766 4002 5532 8004 10603 13369 21206 26738 31809 40107 42412 53476 63618 80214 127236 160428 307487 614974 922461 1229948 1844922 3689844