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1004304321 = 32111589369
BaseRepresentation
bin111011110111000…
…111011111000001
32120222202221112100
4323313013133001
54024100214241
6243353421013
733613305636
oct7367073701
92528687470
101004304321
114759a3779
1224040a769
131300b6417
149754c18d
155d2819b6
hex3bdc77c1

1004304321 has 6 divisors (see below), whose sum is σ = 1450661810. Its totient is φ = 669536208.

The previous prime is 1004304311. The next prime is 1004304331. The reversal of 1004304321 is 1234034001.

It is an interprime number because it is at equal distance from previous prime (1004304311) and next prime (1004304331).

It can be written as a sum of positive squares in only one way, i.e., 995087025 + 9217296 = 31545^2 + 3036^2 .

It is not a de Polignac number, because 1004304321 - 215 = 1004271553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004304294 and 1004304303.

It is not an unprimeable number, because it can be changed into a prime (1004304311) 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 5 ways as a sum of consecutive naturals, for example, 55794676 + ... + 55794693.

Almost surely, 21004304321 is an apocalyptic number.

It is an amenable number.

1004304321 is a deficient number, since it is larger than the sum of its proper divisors (446357489).

1004304321 is a wasteful number, since it uses less digits than its factorization.

1004304321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111589375 (or 111589372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1004304321 is about 31690.7608144708. The cubic root of 1004304321 is about 1001.4327199998.

Adding to 1004304321 its reverse (1234034001), we get a palindrome (2238338322).

The spelling of 1004304321 in words is "one billion, four million, three hundred four thousand, three hundred twenty-one".

Divisors: 1 3 9 111589369 334768107 1004304321