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1003000340 = 225172950001
BaseRepresentation
bin111011110010001…
…001001000010100
32120220022200210202
4323302021020110
54023232002330
6243305440032
733566235146
oct7362111024
92526280722
101003000340
11475193001
1223baa0018
1312ca4aa34
14972ccc96
155d0c5445
hex3bc89214

1003000340 has 24 divisors (see below), whose sum is σ = 2230201512. Its totient is φ = 377600000.

The previous prime is 1003000337. The next prime is 1003000373. The reversal of 1003000340 is 430003001.

It can be written as a sum of positive squares in 4 ways, for example, as 41628304 + 961372036 = 6452^2 + 31006^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474661 + ... + 1475340.

It is an arithmetic number, because the mean of its divisors is an integer number (92925063).

Almost surely, 21003000340 is an apocalyptic number.

1003000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003000340 is an abundant number, since it is smaller than the sum of its proper divisors (1227201172).

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

1003000340 is a wasteful number, since it uses less digits than its factorization.

1003000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950027 (or 2950025 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1003000340 is about 31670.1806120521. The cubic root of 1003000340 is about 1000.9991147706. Note that the first 3 decimals are identical.

Adding to 1003000340 its reverse (430003001), we get a palindrome (1433003341).

The spelling of 1003000340 in words is "one billion, three million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2950001 5900002 11800004 14750005 29500010 50150017 59000020 100300034 200600068 250750085 501500170 1003000340