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1004334380 = 225722935339
BaseRepresentation
bin111011110111001…
…110110100101100
32120222211110202122
4323313032310230
54024102200010
6243354212112
733613462400
oct7367166454
92528743678
101004334380
11475a14315
12240424038
131300c6cca
1497559100
155d28a855
hex3bdced2c

1004334380 has 72 divisors (see below), whose sum is σ = 2538118800. Its totient is φ = 332459904.

The previous prime is 1004334379. The next prime is 1004334391. The reversal of 1004334380 is 834334001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10751 + ... + 46089.

It is an arithmetic number, because the mean of its divisors is an integer number (35251650).

Almost surely, 21004334380 is an apocalyptic number.

1004334380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004334380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269059400).

1004334380 is an abundant number, since it is smaller than the sum of its proper divisors (1533784420).

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

1004334380 is a wasteful number, since it uses less digits than its factorization.

1004334380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35391 (or 35382 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1004334380 is about 31691.2350658664. The cubic root of 1004334380 is about 1001.4427109176.

Adding to 1004334380 its reverse (834334001), we get a palindrome (1838668381).

The spelling of 1004334380 in words is "one billion, four million, three hundred thirty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 28420 35339 70678 141356 176695 247373 353390 494746 706780 989492 1024831 1236865 1731611 2049662 2473730 3463222 4099324 4947460 5124155 6926444 7173817 8658055 10248310 14347634 17316110 20496620 28695268 34632220 35869085 50216719 71738170 100433438 143476340 200866876 251083595 502167190 1004334380