Search a number
-
+
4190336 = 27191723
BaseRepresentation
bin1111111111000010000000
321212220001122
433333002000
52033042321
6225451412
750421503
oct17770200
97786048
104190336
112402297
1214a0b68
13b393b7
147b113a
1557b8ab
hex3ff080

4190336 has 32 divisors (see below), whose sum is σ = 8792400. Its totient is φ = 1983744.

The previous prime is 4190321. The next prime is 4190359. The reversal of 4190336 is 6330914.

4190336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1571 + ... + 3293.

Almost surely, 24190336 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 4190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396200).

4190336 is an abundant number, since it is smaller than the sum of its proper divisors (4602064).

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

4190336 is a wasteful number, since it uses less digits than its factorization.

4190336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 4190336 is about 2047.0310207713. The cubic root of 4190336 is about 161.2190221525.

The spelling of 4190336 in words is "four million, one hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 1723 2432 3446 6892 13784 27568 32737 55136 65474 110272 130948 220544 261896 523792 1047584 2095168 4190336