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1304315712 = 263272371249
BaseRepresentation
bin100110110111110…
…0100011101000000
310100220022002210100
41031233210131000
510132401100322
6333232002400
744215333500
oct11557443500
93326262710
101304315712
1160a285777
12304990400
1317a2b945b
14c5325a00
1579793dac
hex4dbe4740

1304315712 has 252 divisors, whose sum is σ = 4470082500. Its totient is φ = 362299392.

The previous prime is 1304315699. The next prime is 1304315713. The reversal of 1304315712 is 2175134031.

It can be written as a sum of positive squares in 2 ways, for example, as 884229696 + 420086016 = 29736^2 + 20496^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304315713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1043664 + ... + 1044912.

Almost surely, 21304315712 is an apocalyptic number.

1304315712 is a gapful number since it is divisible by the number (12) 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 1304315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235041250).

1304315712 is an abundant number, since it is smaller than the sum of its proper divisors (3165766788).

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

1304315712 is a wasteful number, since it uses less digits than its factorization.

1304315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1304315712 is about 36115.3113235924. The cubic root of 1304315712 is about 1092.5992765867.

Adding to 1304315712 its reverse (2175134031), we get a palindrome (3479449743).

The spelling of 1304315712 in words is "one billion, three hundred four million, three hundred fifteen thousand, seven hundred twelve".