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3734848 = 2613672
BaseRepresentation
bin1110001111110101000000
321000202020201
432033311000
51424003343
6212014544
743513525
oct16176500
97022221
103734848
112121057
121301454
13a09c90
146d314c
154db94d
hex38fd40

3734848 has 42 divisors (see below), whose sum is σ = 8102346. Its totient is φ = 1698048.

The previous prime is 3734839. The next prime is 3734867. The reversal of 3734848 is 8484373.

3734848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2585664 + 1149184 = 1608^2 + 1072^2 .

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 5 ways as a sum of consecutive naturals, for example, 55711 + ... + 55777.

It is an arithmetic number, because the mean of its divisors is an integer number (192913).

Almost surely, 23734848 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 3734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051173).

3734848 is an abundant number, since it is smaller than the sum of its proper divisors (4367498).

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

3734848 is an equidigital number, since it uses as much as digits as its factorization.

3734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 82 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 3734848 is about 1932.5754836487. The cubic root of 3734848 is about 155.1520948970.

The spelling of 3734848 in words is "three million, seven hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 3484 4288 4489 6968 8978 13936 17956 27872 35912 55744 58357 71824 116714 143648 233428 287296 466856 933712 1867424 3734848