Search a number
-
+
2754414 = 2321379149
BaseRepresentation
bin1010100000011101101110
312011221100100
422200131232
51201120124
6135011530
732261235
oct12403556
95157310
102754414
111611483
12b09ba6
13755940
14519b1c
153961c9
hex2a076e

2754414 has 48 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 831168.

The previous prime is 2754407. The next prime is 2754419. The reversal of 2754414 is 4144572.

2754414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754419) 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 23 ways as a sum of consecutive naturals, for example, 18412 + ... + 18560.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

22754414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2754414 is an abundant number, since it is smaller than the sum of its proper divisors (3797586).

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

2754414 is a wasteful number, since it uses less digits than its factorization.

2754414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 2754414 is about 1659.6427326386. The cubic root of 2754414 is about 140.1768852609.

Adding to 2754414 its reverse (4144572), we get a palindrome (6898986).

The spelling of 2754414 in words is "two million, seven hundred fifty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 149 158 234 237 298 447 474 711 894 1027 1341 1422 1937 2054 2682 3081 3874 5811 6162 9243 11622 11771 17433 18486 23542 34866 35313 70626 105939 153023 211878 306046 459069 918138 1377207 2754414