Search a number
-
+
2948240 = 245137269
BaseRepresentation
bin1011001111110010010000
312112210020002
423033302100
51223320430
6143105132
734026311
oct13176220
95483202
102948240
111734069
12ba21a8
137c2c29
1456a608
153d3845
hex2cfc90

2948240 has 40 divisors (see below), whose sum is σ = 6930360. Its totient is φ = 1166336.

The previous prime is 2948233. The next prime is 2948261. The reversal of 2948240 is 428492.

2948240 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 4 ways, for example, as 30976 + 2917264 = 176^2 + 1708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 10826 + ... + 11094.

It is an arithmetic number, because the mean of its divisors is an integer number (173259).

22948240 is an apocalyptic number.

2948240 is a gapful number since it is divisible by the number (20) 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 2948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465180).

2948240 is an abundant number, since it is smaller than the sum of its proper divisors (3982120).

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

2948240 is a wasteful number, since it uses less digits than its factorization.

2948240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2948240 is about 1717.0439714812. The cubic root of 2948240 is about 143.3906867405.

The spelling of 2948240 in words is "two million, nine hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 269 274 538 548 685 1076 1096 1345 1370 2152 2192 2690 2740 4304 5380 5480 10760 10960 21520 36853 73706 147412 184265 294824 368530 589648 737060 1474120 2948240