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9991000344 = 2331364149957
BaseRepresentation
bin10010100111000001…
…01001000100011000
3221210021211101220210
421103200221010120
5130430144002334
64331221451120
7502405046613
oct112340510430
927707741823
109991000344
114267728486
121b29b70aa0
13c32b89030
146aac9d17a
153d71d15e9
hex253829118

9991000344 has 64 divisors (see below), whose sum is σ = 26941350240. Its totient is φ = 3069296640.

The previous prime is 9991000343. The next prime is 9991000367. The reversal of 9991000344 is 4430001999.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9991000343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175014 + ... + 224970.

Almost surely, 29991000344 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 9991000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470675120).

9991000344 is an abundant number, since it is smaller than the sum of its proper divisors (16950349896).

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

9991000344 is a wasteful number, since it uses less digits than its factorization.

9991000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50620 (or 50616 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 9991000344 is about 99954.9915912157. The cubic root of 9991000344 is about 2153.7881903478.

The spelling of 9991000344 in words is "nine billion, nine hundred ninety-one million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 641 1282 1923 2564 3846 5128 7692 8333 15384 16666 24999 33332 49957 49998 66664 99914 99996 149871 199828 199992 299742 399656 599484 649441 1198968 1298882 1948323 2597764 3896646 5195528 7793292 15586584 32022437 64044874 96067311 128089748 192134622 256179496 384269244 416291681 768538488 832583362 1248875043 1665166724 2497750086 3330333448 4995500172 9991000344