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1330312441 = 17257304489
BaseRepresentation
bin100111101001010…
…1111010011111001
310102201012212121011
41033102233103321
510211024444231
6340001113521
744652316633
oct11722572371
93381185534
101330312441
11622a21477
123116288a1
131827bc233
14c8971a53
157bbcb9b1
hex4f4af4f9

1330312441 has 8 divisors (see below), whose sum is σ = 1414051560. Its totient is φ = 1247182848.

The previous prime is 1330312421. The next prime is 1330312453. The reversal of 1330312441 is 1442130331.

It can be written as a sum of positive squares in 4 ways, for example, as 443523600 + 886788841 = 21060^2 + 29779^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1330312441 - 29 = 1330311929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330312411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147876 + ... + 156613.

It is an arithmetic number, because the mean of its divisors is an integer number (176756445).

Almost surely, 21330312441 is an apocalyptic number.

It is an amenable number.

1330312441 is a deficient number, since it is larger than the sum of its proper divisors (83739119).

1330312441 is a wasteful number, since it uses less digits than its factorization.

1330312441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304763.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1330312441 is about 36473.4484385560. The cubic root of 1330312441 is about 1099.8105571831.

Adding to 1330312441 its reverse (1442130331), we get a palindrome (2772442772).

The spelling of 1330312441 in words is "one billion, three hundred thirty million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 17 257 4369 304489 5176313 78253673 1330312441