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1304726641 = 4128812
BaseRepresentation
bin100110111000100…
…1000110001110001
310100221001222110221
41031301020301301
510133002223031
6333244453041
744221664521
oct11561106161
93327058427
101304726641
1160a536489
12304b4a181
1317a4014ca
14c53d1681
1579825a11
hex4dc48c71

1304726641 has 9 divisors (see below), whose sum is σ = 1338845089. Its totient is φ = 1271459200.

The previous prime is 1304726611. The next prime is 1304726653. The reversal of 1304726641 is 1466274031.

The square root of 1304726641 is 36121.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 822485041 + 482241600 = 28679^2 + 21960^2 .

It is not a de Polignac number, because 1304726641 - 25 = 1304726609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1304726597 and 1304726606.

It is not an unprimeable number, because it can be changed into a prime (1304726611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1480521 + ... + 1481401.

Almost surely, 21304726641 is an apocalyptic number.

1304726641 is the 36121-st square number.

1304726641 is the 18061-st centered octagonal number.

It is an amenable number.

1304726641 is a deficient number, since it is larger than the sum of its proper divisors (34118448).

1304726641 is an frugal number, since it uses more digits than its factorization.

1304726641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 1304726641 is about 1092.7140068833.

The spelling of 1304726641 in words is "one billion, three hundred four million, seven hundred twenty-six thousand, six hundred forty-one".

Divisors: 1 41 881 1681 36121 776161 1480961 31822601 1304726641