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1303130440 = 23532578261
BaseRepresentation
bin100110110101100…
…0011000101001000
310100211001212220101
41031223003011020
510132100133230
6333150335144
744202266053
oct11553030510
93324055811
101303130440
11609646207
123044ba4b4
13179c92b01
14c50d7a9a
157960caca
hex4dac3148

1303130440 has 16 divisors (see below), whose sum is σ = 2932043580. Its totient is φ = 521252160.

The previous prime is 1303130377. The next prime is 1303130443. The reversal of 1303130440 is 440313031.

It can be written as a sum of positive squares in 2 ways, for example, as 1299025764 + 4104676 = 36042^2 + 2026^2 .

It is not an unprimeable number, because it can be changed into a prime (1303130443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16289091 + ... + 16289170.

Almost surely, 21303130440 is an apocalyptic number.

1303130440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303130440 is an abundant number, since it is smaller than the sum of its proper divisors (1628913140).

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

1303130440 is a wasteful number, since it uses less digits than its factorization.

1303130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32578272 (or 32578268 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1303130440 is about 36098.8980441232. The cubic root of 1303130440 is about 1092.2682167078.

Adding to 1303130440 its reverse (440313031), we get a palindrome (1743443471).

The spelling of 1303130440 in words is "one billion, three hundred three million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 32578261 65156522 130313044 162891305 260626088 325782610 651565220 1303130440