Search a number
-
+
3896368 = 247191831
BaseRepresentation
bin1110110111010000110000
321022221210221
432313100300
51444140433
6215302424
745055450
oct16672060
97287727
103896368
112221443
12137aa14
13a65658
14735d60
1551e72d
hex3b7430

3896368 has 40 divisors (see below), whose sum is σ = 9086720. Its totient is φ = 1581120.

The previous prime is 3896363. The next prime is 3896369. The reversal of 3896368 is 8636983.

3896368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3896363) 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 7 ways as a sum of consecutive naturals, for example, 1213 + ... + 3043.

It is an arithmetic number, because the mean of its divisors is an integer number (227168).

Almost surely, 23896368 is an apocalyptic number.

3896368 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 3896368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543360).

3896368 is an abundant number, since it is smaller than the sum of its proper divisors (5190352).

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

3896368 is a wasteful number, since it uses less digits than its factorization.

3896368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1859 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 3896368 is about 1973.9219842739. The cubic root of 3896368 is about 157.3572133309.

The spelling of 3896368 in words is "three million, eight hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1831 2128 3662 7324 12817 14648 25634 29296 34789 51268 69578 102536 139156 205072 243523 278312 487046 556624 974092 1948184 3896368