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1003348863 = 34111126093
BaseRepresentation
bin111011110011011…
…110001101111111
32120220222101220000
4323303132031333
54023324130423
6243321125343
733602216226
oct7363361577
92526871800
101003348863
11475400940
12240029853
1312cb4056a
149737dcbd
155d143843
hex3bcde37f

1003348863 has 20 divisors (see below), whose sum is σ = 1635088488. Its totient is φ = 608089680.

The previous prime is 1003348831. The next prime is 1003348889. The reversal of 1003348863 is 3688433001.

It is a happy number.

It is not a de Polignac number, because 1003348863 - 25 = 1003348831 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003348063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 562156 + ... + 563937.

Almost surely, 21003348863 is an apocalyptic number.

1003348863 is a deficient number, since it is larger than the sum of its proper divisors (631739625).

1003348863 is a wasteful number, since it uses less digits than its factorization.

1003348863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126116 (or 1126107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1003348863 is about 31675.6825182978. The cubic root of 1003348863 is about 1001.1150438817.

It can be divided in two parts, 1003 and 348863, that added together give a triangular number (349866 = T836).

The spelling of 1003348863 in words is "one billion, three million, three hundred forty-eight thousand, eight hundred sixty-three".

Divisors: 1 3 9 11 27 33 81 99 297 891 1126093 3378279 10134837 12387023 30404511 37161069 91213533 111483207 334449621 1003348863