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1003100340 = 2235113741077
BaseRepresentation
bin111011110010100…
…001100010110100
32120220111202222110
4323302201202310
54023243202330
6243311531020
733600132534
oct7362414264
92526452873
101003100340
11475251150
1223bb29a70
1312ca843c8
14973174c4
155d0e4db0
hex3bca18b4

1003100340 has 96 divisors (see below), whose sum is σ = 3146903424. Its totient is φ = 236597760.

The previous prime is 1003100309. The next prime is 1003100341. The reversal of 1003100340 is 430013001.

1003100340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003100341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3882 + ... + 44958.

It is an arithmetic number, because the mean of its divisors is an integer number (32780244).

Almost surely, 21003100340 is an apocalyptic number.

1003100340 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 1003100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573451712).

1003100340 is an abundant number, since it is smaller than the sum of its proper divisors (2143803084).

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

1003100340 is a wasteful number, since it uses less digits than its factorization.

1003100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41137 (or 41135 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1003100340 is about 31671.7593448801. The cubic root of 1003100340 is about 1001.0323804904.

Adding to 1003100340 its reverse (430013001), we get a palindrome (1433113341).

The spelling of 1003100340 in words is "one billion, three million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 41077 82154 123231 164308 205385 246462 410770 451847 492924 616155 821540 903694 1232310 1355541 1519849 1807388 2259235 2464620 2711082 3039698 4518470 4559547 5422164 6079396 6777705 7599245 9036940 9119094 13555410 15198490 16718339 18238188 22797735 27110820 30396980 33436678 45595470 50155017 66873356 83591695 91190940 100310034 167183390 200620068 250775085 334366780 501550170 1003100340