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1003311340 = 225193178329
BaseRepresentation
bin111011110011010…
…101000011101100
32120220220111102021
4323303111003230
54023321430330
6243320235524
733602001643
oct7363250354
92526814367
101003311340
11475385729
1224000bba4
1312cb29465
149737035a
155d13767a
hex3bcd50ec

1003311340 has 48 divisors (see below), whose sum is σ = 2225109600. Its totient is φ = 378957312.

The previous prime is 1003311299. The next prime is 1003311367. The reversal of 1003311340 is 431133001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116296 + ... + 124624.

It is an arithmetic number, because the mean of its divisors is an integer number (46356450).

Almost surely, 21003311340 is an apocalyptic number.

1003311340 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 1003311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112554800).

1003311340 is an abundant number, since it is smaller than the sum of its proper divisors (1221798260).

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

1003311340 is a wasteful number, since it uses less digits than its factorization.

1003311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1003311340 is about 31675.0902129733. The cubic root of 1003311340 is about 1001.1025639061.

Adding to 1003311340 its reverse (431133001), we get a palindrome (1434444341).

The spelling of 1003311340 in words is "one billion, three million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 317 380 634 1268 1585 3170 6023 6340 8329 12046 16658 24092 30115 33316 41645 60230 83290 120460 158251 166580 316502 633004 791255 1582510 2640293 3165020 5280586 10561172 13201465 26402930 50165567 52805860 100331134 200662268 250827835 501655670 1003311340