Search a number
-
+
2301248 = 2641877
BaseRepresentation
bin1000110001110101000000
311022220201102
420301311000
51042114443
6121153532
725363115
oct10616500
94286642
102301248
111331a64
1292b8a8
136275b1
1443c90c
15306cb8
hex231d40

2301248 has 28 divisors (see below), whose sum is σ = 4683252. Its totient is φ = 1121280.

The previous prime is 2301241. The next prime is 2301251. The reversal of 2301248 is 8421032.

It can be written as a sum of positive squares in 2 ways, for example, as 937024 + 1364224 = 968^2 + 1168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301241) 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, 2186 + ... + 3062.

It is an arithmetic number, because the mean of its divisors is an integer number (167259).

22301248 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 2301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341626).

2301248 is an abundant number, since it is smaller than the sum of its proper divisors (2382004).

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

2301248 is an equidigital number, since it uses as much as digits as its factorization.

2301248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2301248 is about 1516.9864864263. The cubic root of 2301248 is about 132.0244827560.

The spelling of 2301248 in words is "two million, three hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 877 1312 1754 2624 3508 7016 14032 28064 35957 56128 71914 143828 287656 575312 1150624 2301248