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2997000 = 23345337
BaseRepresentation
bin1011011011101100001000
312122021010000
423123230020
51231401000
6144123000
734321416
oct13335410
95567100
102997000
111767766
121006460
1380c196
145802b6
153e3000
hex2dbb08

2997000 has 160 divisors (see below), whose sum is σ = 10759320. Its totient is φ = 777600.

The previous prime is 2996933. The next prime is 2997011. The reversal of 2997000 is 7992.

2997000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 1454436 = 1242^2 + 1206^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80982 + ... + 81018.

22997000 is an apocalyptic number.

2997000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379660).

2997000 is an abundant number, since it is smaller than the sum of its proper divisors (7762320).

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

2997000 is a wasteful number, since it uses less digits than its factorization.

2997000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 2997000 is about 1731.1845655504. The cubic root of 2997000 is about 144.1768660112.

The spelling of 2997000 in words is "two million, nine hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 37 40 45 50 54 60 72 74 75 81 90 100 108 111 120 125 135 148 150 162 180 185 200 216 222 225 250 270 296 300 324 333 360 370 375 405 444 450 500 540 555 600 648 666 675 740 750 810 888 900 925 999 1000 1080 1110 1125 1332 1350 1480 1500 1620 1665 1800 1850 1998 2025 2220 2250 2664 2700 2775 2997 3000 3240 3330 3375 3700 3996 4050 4440 4500 4625 4995 5400 5550 5994 6660 6750 7400 7992 8100 8325 9000 9250 9990 10125 11100 11988 13320 13500 13875 14985 16200 16650 18500 19980 20250 22200 23976 24975 27000 27750 29970 33300 37000 39960 40500 41625 49950 55500 59940 66600 74925 81000 83250 99900 111000 119880 124875 149850 166500 199800 249750 299700 333000 374625 499500 599400 749250 999000 1498500 2997000