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1004434317 = 3331238711
BaseRepresentation
bin111011110111100…
…111001110001101
32121000000112212000
4323313213032031
54024113344232
6243400302513
733614356635
oct7367471615
92530015760
101004434317
11475a82407
12240471a39
13130130643
14975836c5
155d2aa27c
hex3bde738d

1004434317 has 24 divisors (see below), whose sum is σ = 1537640640. Its totient is φ = 648005400.

The previous prime is 1004434303. The next prime is 1004434351. The reversal of 1004434317 is 7134344001.

It is not a de Polignac number, because 1004434317 - 211 = 1004432269 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

1004434317 is a modest number, since divided by 34317 gives 10044 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004434397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6592 + ... + 45302.

It is an arithmetic number, because the mean of its divisors is an integer number (64068360).

Almost surely, 21004434317 is an apocalyptic number.

It is an amenable number.

1004434317 is a deficient number, since it is larger than the sum of its proper divisors (533206323).

1004434317 is an equidigital number, since it uses as much as digits as its factorization.

1004434317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38782 (or 38745 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1004434317 is about 31692.8117559803. The cubic root of 1004434317 is about 1001.4759262367.

Adding to 1004434317 its reverse (7134344001), we get a palindrome (8138778318).

The spelling of 1004434317 in words is "one billion, four million, four hundred thirty-four thousand, three hundred seventeen".

Divisors: 1 3 9 27 31 93 279 837 961 2883 8649 25947 38711 116133 348399 1045197 1200041 3600123 10800369 32401107 37201271 111603813 334811439 1004434317