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2300343440 = 245171691429
BaseRepresentation
bin1000100100011100…
…0111010010010000
312221022111112222012
42021013013102100
514202341442230
61020132202052
7111001411433
oct21107072220
95838445865
102300343440
11a8053608a
12542469328
132a8765585
1417b71b81a
15d6e3d395
hex891c7490

2300343440 has 40 divisors (see below), whose sum is σ = 5662907640. Its totient is φ = 866011136.

The previous prime is 2300343421. The next prime is 2300343443. The reversal of 2300343440 is 443430032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 793661584 + 1506681856 = 28172^2 + 38816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2300343443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844355 + ... + 847074.

It is an arithmetic number, because the mean of its divisors is an integer number (141572691).

Almost surely, 22300343440 is an apocalyptic number.

2300343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300343440 is an abundant number, since it is smaller than the sum of its proper divisors (3362564200).

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

2300343440 is a wasteful number, since it uses less digits than its factorization.

2300343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691459 (or 1691453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2300343440 is about 47961.8957089897. The cubic root of 2300343440 is about 1320.0718203959.

Adding to 2300343440 its reverse (443430032), we get a palindrome (2743773472).

The spelling of 2300343440 in words is "two billion, three hundred million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1691429 3382858 6765716 8457145 13531432 16914290 27062864 28754293 33828580 57508586 67657160 115017172 135314320 143771465 230034344 287542930 460068688 575085860 1150171720 2300343440