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1003001340 = 2235119715667
BaseRepresentation
bin111011110010001…
…001010111111100
32120220022202011210
4323302021113330
54023232020330
6243305444420
733566241105
oct7362112774
92526282153
101003001340
11475193830
1223baa0710
1312ca4b323
14972cd3ac
155d0c58b0
hex3bc895fc

1003001340 has 96 divisors (see below), whose sum is σ = 3095495424. Its totient is φ = 240629760.

The previous prime is 1003001339. The next prime is 1003001383. The reversal of 1003001340 is 431003001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56187 + ... + 71853.

It is an arithmetic number, because the mean of its divisors is an integer number (32244744).

Almost surely, 21003001340 is an apocalyptic number.

1003001340 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 1003001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547747712).

1003001340 is an abundant number, since it is smaller than the sum of its proper divisors (2092494084).

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

1003001340 is a wasteful number, since it uses less digits than its factorization.

1003001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15787 (or 15785 counting only the distinct ones).

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

The square root of 1003001340 is about 31670.1963997699. The cubic root of 1003001340 is about 1000.9994474387. Note that the first 3 decimals are identical.

Adding to 1003001340 its reverse (431003001), we get a palindrome (1434004341).

The spelling of 1003001340 in words is "one billion, three million, one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 15667 16005 21340 31334 32010 47001 62668 64020 78335 94002 156670 172337 188004 235005 313340 344674 470010 517011 689348 861685 940020 1034022 1519699 1723370 2068044 2585055 3039398 3446740 4559097 5170110 6078796 7598495 9118194 10340220 15196990 16716689 18236388 22795485 30393980 33433378 45590970 50150067 66866756 83583445 91181940 100300134 167166890 200600268 250750335 334333780 501500670 1003001340