Search a number
-
+
2141344 = 25611097
BaseRepresentation
bin1000001010110010100000
311000210101001
420022302200
51022010334
6113521344
724125662
oct10126240
94023331
102141344
111232907
12873254
1359c88a
143da532
152c4714
hex20aca0

2141344 has 24 divisors (see below), whose sum is σ = 4288788. Its totient is φ = 1052160.

The previous prime is 2141333. The next prime is 2141401. The reversal of 2141344 is 4431412.

It can be written as a sum of positive squares in 2 ways, for example, as 1795600 + 345744 = 1340^2 + 588^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1404 + ... + 2500.

22141344 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 2141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144394).

2141344 is an abundant number, since it is smaller than the sum of its proper divisors (2147444).

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

2141344 is a wasteful number, since it uses less digits than its factorization.

2141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1160 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 2141344 is about 1463.3331814730. Note that the first 3 decimals coincide. The cubic root of 2141344 is about 128.8928461374.

Adding to 2141344 its reverse (4431412), we get a palindrome (6572756).

It can be divided in two parts, 2141 and 344, that added together give a triangular number (2485 = T70).

The spelling of 2141344 in words is "two million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1097 1952 2194 4388 8776 17552 35104 66917 133834 267668 535336 1070672 2141344