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1004431023 = 354397991
BaseRepresentation
bin111011110111100…
…110011010101111
32121000000101100000
4323313212122233
54024113243043
6243400235343
733614344221
oct7367463257
92530011300
101004431023
11475a7a992
1224046bb53
1313012bcab
1497582411
155d2a92d3
hex3bde66af

1004431023 has 48 divisors (see below), whose sum is σ = 1557011456. Its totient is φ = 646652160.

The previous prime is 1004431007. The next prime is 1004431027. The reversal of 1004431023 is 3201344001.

It is not a de Polignac number, because 1004431023 - 24 = 1004431007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004430987 and 1004431005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004431027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013058 + ... + 1014048.

Almost surely, 21004431023 is an apocalyptic number.

1004431023 is a deficient number, since it is larger than the sum of its proper divisors (552580433).

1004431023 is an frugal number, since it uses more digits than its factorization.

1004431023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

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

The square root of 1004431023 is about 31692.7597883176. The cubic root of 1004431023 is about 1001.4748314695.

Adding to 1004431023 its reverse (3201344001), we get a palindrome (4205775024).

The spelling of 1004431023 in words is "one billion, four million, four hundred thirty-one thousand, twenty-three".

Divisors: 1 3 9 27 43 81 97 129 243 291 387 873 991 1161 2619 2973 3483 4171 7857 8919 10449 12513 23571 26757 37539 42613 80271 96127 112617 127839 240813 288381 337851 383517 865143 1013553 1150551 2595429 3451653 4133461 7786287 10354959 12400383 23358861 37201149 111603447 334810341 1004431023