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2303050320 = 243452931213
BaseRepresentation
bin1000100101000101…
…1100001001010000
312221111121002010000
42021101130021100
514204040102240
61020310210000
7111033414264
oct21121341120
95844532100
102303050320
11a8201487a
12543353900
132a91a268c
1417bc240a4
15d72c5430
hex8945c250

2303050320 has 200 divisors, whose sum is σ = 8032751496. Its totient is φ = 611546112.

The previous prime is 2303050307. The next prime is 2303050327. The reversal of 2303050320 is 230503032.

It can be written as a sum of positive squares in 4 ways, for example, as 209438784 + 2093611536 = 14472^2 + 45756^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2303050293 and 2303050302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303050327) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1898034 + ... + 1899246.

Almost surely, 22303050320 is an apocalyptic number.

2303050320 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 2303050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016375748).

2303050320 is an abundant number, since it is smaller than the sum of its proper divisors (5729701176).

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

2303050320 is a wasteful number, since it uses less digits than its factorization.

2303050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 2303050320 is about 47990.1064803986. The cubic root of 2303050320 is about 1320.5894062007.

Adding to 2303050320 its reverse (230503032), we get a palindrome (2533553352).

The spelling of 2303050320 in words is "two billion, three hundred three million, fifty thousand, three hundred twenty".