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3141000 = 233253349
BaseRepresentation
bin1011111110110110001000
312220120122100
423332312020
51301003000
6151153400
735461302
oct13766610
95816570
103141000
111855975
121075860
1385c8a5
145ba972
15420a00
hex2fed88

3141000 has 96 divisors (see below), whose sum is σ = 10647000. Its totient is φ = 835200.

The previous prime is 3140993. The next prime is 3141001. The reversal of 3141000 is 1413.

It can be written as a sum of positive squares in 4 ways, for example, as 1285956 + 1855044 = 1134^2 + 1362^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3141001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8826 + ... + 9174.

Almost surely, 23141000 is an apocalyptic number.

3141000 is a gapful number since it is divisible by the number (30) 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 3141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323500).

3141000 is an abundant number, since it is smaller than the sum of its proper divisors (7506000).

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

3141000 is a wasteful number, since it uses less digits than its factorization.

3141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3141000 is about 1772.2866585290. The cubic root of 3141000 is about 146.4499784572.

Adding to 3141000 its reverse (1413), we get a palindrome (3142413).

The spelling of 3141000 in words is "three million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 349 360 375 450 500 600 698 750 900 1000 1047 1125 1396 1500 1745 1800 2094 2250 2792 3000 3141 3490 4188 4500 5235 6282 6980 8376 8725 9000 10470 12564 13960 15705 17450 20940 25128 26175 31410 34900 41880 43625 52350 62820 69800 78525 87250 104700 125640 130875 157050 174500 209400 261750 314100 349000 392625 523500 628200 785250 1047000 1570500 3141000