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1003112344 = 231325313999
BaseRepresentation
bin111011110010100…
…100011110011000
32120220112101110001
4323302210132120
54023244043334
6243312102344
733600212533
oct7362443630
92526471401
101003112344
1147525a173
1223bb349b4
1312ca89a00
149731ba1a
155d0e8714
hex3bca4798

1003112344 has 48 divisors (see below), whose sum is σ = 2075220000. Its totient is φ = 454207104.

The previous prime is 1003112333. The next prime is 1003112347. The reversal of 1003112344 is 4432113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003112347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64657 + ... + 78655.

It is an arithmetic number, because the mean of its divisors is an integer number (43233750).

Almost surely, 21003112344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037610000).

1003112344 is an abundant number, since it is smaller than the sum of its proper divisors (1072107656).

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

1003112344 is a wasteful number, since it uses less digits than its factorization.

1003112344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14084 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1003112344 is about 31671.9488506786. The cubic root of 1003112344 is about 1001.0363735588.

Adding to 1003112344 its reverse (4432113001), we get a palindrome (5435225345).

The spelling of 1003112344 in words is "one billion, three million, one hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1352 1378 2756 5512 8957 13999 17914 27998 35828 55996 71656 111992 181987 363974 727948 741947 1455896 1483894 2365831 2967788 4731662 5935576 9463324 9645311 18926648 19290622 38581244 77162488 125389043 250778086 501556172 1003112344