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3746424 = 2331123617
BaseRepresentation
bin1110010010101001111000
321001100010110
432102221320
51424341144
6212144320
743562343
oct16225170
97040113
103746424
112129820
1213080a0
13a12326
146d745a
154e00b9
hex392a78

3746424 has 64 divisors (see below), whose sum is σ = 10679040. Its totient is φ = 1084160.

The previous prime is 3746399. The next prime is 3746453. The reversal of 3746424 is 4246473.

3746424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3746391 and 3746400.

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, 5764 + ... + 6380.

It is an arithmetic number, because the mean of its divisors is an integer number (166860).

Almost surely, 23746424 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 3746424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339520).

3746424 is an abundant number, since it is smaller than the sum of its proper divisors (6932616).

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

3746424 is a wasteful number, since it uses less digits than its factorization.

3746424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 3746424 is about 1935.5681336497. The cubic root of 3746424 is about 155.3122253098.

The spelling of 3746424 in words is "three million, seven hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 617 759 1012 1234 1518 1851 2024 2468 3036 3702 4936 6072 6787 7404 13574 14191 14808 20361 27148 28382 40722 42573 54296 56764 81444 85146 113528 156101 162888 170292 312202 340584 468303 624404 936606 1248808 1873212 3746424