Search a number
-
+
3354144 = 25334939
BaseRepresentation
bin1100110010111000100000
320022102000120
430302320200
51324313034
6155520240
740336563
oct14627040
96272016
103354144
111991022
121159080
13905901
146344da
15463c49
hex332e20

3354144 has 24 divisors (see below), whose sum is σ = 8804880. Its totient is φ = 1118016.

The previous prime is 3354133. The next prime is 3354149. The reversal of 3354144 is 4414533.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33541442 = 22500563945472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3354149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17374 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (366870).

Almost surely, 23354144 is an apocalyptic number.

It is an amenable number.

3354144 is an abundant number, since it is smaller than the sum of its proper divisors (5450736).

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

3354144 is a wasteful number, since it uses less digits than its factorization.

3354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34952 (or 34944 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 3354144 is about 1831.4322264283. The cubic root of 3354144 is about 149.6903835797.

Adding to 3354144 its reverse (4414533), we get a palindrome (7768677).

The spelling of 3354144 in words is "three million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 34939 69878 104817 139756 209634 279512 419268 559024 838536 1118048 1677072 3354144