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997003000 = 23537220347
BaseRepresentation
bin111011011011010…
…000111011111000
32120111001000000001
4323123100323320
54020213044000
6242533122344
733464246200
oct7333207370
92514030001
10997003000
11471867124
12239a893b4
1312b72b006
14965ab400
155c7dd46a
hex3b6d0ef8

997003000 has 96 divisors (see below), whose sum is σ = 2714016240. Its totient is φ = 341812800.

The previous prime is 997002943. The next prime is 997003043. The reversal of 997003000 is 300799.

It is a Cunningham number, because it is equal to 9993+1.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 997003000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38827 + ... + 59173.

Almost surely, 2997003000 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 997003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357008120).

997003000 is an abundant number, since it is smaller than the sum of its proper divisors (1717013240).

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

997003000 is a wasteful number, since it uses less digits than its factorization.

997003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20382 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 28.

The square root of 997003000 is about 31575.3543131348. The cubic root of 997003000 is about 999.0000003340. Note that the first 6 decimals are identical.

Adding to 997003000 its reverse (300799), we get a palindrome (997303799).

The spelling of 997003000 in words is "nine hundred ninety-seven million, three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 20347 24500 40694 49000 81388 101735 142429 162776 203470 284858 406940 508675 569716 712145 813880 997003 1017350 1139432 1424290 1994006 2034700 2543375 2848580 3560725 3988012 4069400 4985015 5086750 5697160 7121450 7976024 9970030 10173500 14242900 17803625 19940060 20347000 24925075 28485800 35607250 39880120 49850150 71214500 99700300 124625375 142429000 199400600 249250750 498501500 997003000