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1004334030 = 232578319207
BaseRepresentation
bin111011110111001…
…110101111001110
32120222211110021200
4323313032233032
54024102142110
6243354210330
733613461360
oct7367165716
92528743250
101004334030
11475a14027
122404239a6
131300c6abb
1497558d30
155d28a6c0
hex3bdcebce

1004334030 has 96 divisors (see below), whose sum is σ = 3020419584. Its totient is φ = 226784448.

The previous prime is 1004334017. The next prime is 1004334083. The reversal of 1004334030 is 304334001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004333994 and 1004334012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42687 + ... + 61893.

It is an arithmetic number, because the mean of its divisors is an integer number (31462704).

Almost surely, 21004334030 is an apocalyptic number.

1004334030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004334030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510209792).

1004334030 is an abundant number, since it is smaller than the sum of its proper divisors (2016085554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004334030 is a wasteful number, since it uses less digits than its factorization.

1004334030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19310 (or 19307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1004334030 is about 31691.2295438344. The cubic root of 1004334030 is about 1001.4425945868.

Adding to 1004334030 its reverse (304334001), we get a palindrome (1308668031).

The spelling of 1004334030 in words is "one billion, four million, three hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2490 2905 3486 3735 5229 5810 7470 8715 10458 17430 19207 26145 38414 52290 57621 96035 115242 134449 172863 192070 268898 288105 345726 403347 576210 672245 806694 864315 1210041 1344490 1594181 1728630 2016735 2420082 3188362 4033470 4782543 6050205 7970905 9565086 11159267 12100410 14347629 15941810 22318534 23912715 28695258 33477801 47825430 55796335 66955602 71738145 100433403 111592670 143476290 167389005 200866806 334778010 502167015 1004334030