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2300751424 = 26294612689
BaseRepresentation
bin1000100100100010…
…1010111001000000
312221100021021121201
42021020222321000
514202443021144
61020145030544
7111005031046
oct21110527100
95840237551
102300751424
11a80794664
12542625454
132a887919a
1417b7c6396
15d6ebe1d4
hex8922ae40

2300751424 has 56 divisors (see below), whose sum is σ = 4734991800. Its totient is φ = 1107886080.

The previous prime is 2300751413. The next prime is 2300751443. The reversal of 2300751424 is 4241570032.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 2300161600 = 768^2 + 47960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2300751392 and 2300751401.

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, 854272 + ... + 856960.

It is an arithmetic number, because the mean of its divisors is an integer number (84553425).

Almost surely, 22300751424 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 2300751424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367495900).

2300751424 is an abundant number, since it is smaller than the sum of its proper divisors (2434240376).

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

2300751424 is a wasteful number, since it uses less digits than its factorization.

2300751424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2300751424 is about 47966.1487301201. The cubic root of 2300751424 is about 1320.1498574889.

The spelling of 2300751424 in words is "two billion, three hundred million, seven hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 461 464 922 928 1844 1856 2689 3688 5378 7376 10756 13369 14752 21512 26738 29504 43024 53476 77981 86048 106952 155962 172096 213904 311924 427808 623848 855616 1239629 1247696 2479258 2495392 4958516 4990784 9917032 19834064 35949241 39668128 71898482 79336256 143796964 287593928 575187856 1150375712 2300751424