Search a number
-
+
1341000 = 233253149
BaseRepresentation
bin101000111011001001000
32112010111200
411013121020
5320403000
644424200
714253423
oct5073110
92463450
101341000
11836571
12548060
1337c4bb
1426c9ba
151b7500
hex147648

1341000 has 96 divisors (see below), whose sum is σ = 4563000. Its totient is φ = 355200.

The previous prime is 1340981. The next prime is 1341007. The reversal of 1341000 is 1431.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 1179396 = 402^2 + 1086^2 .

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 (1341007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8926 + ... + 9074.

21341000 is an apocalyptic number.

1341000 is a gapful number since it is divisible by the number (10) 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 1341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281500).

1341000 is an abundant number, since it is smaller than the sum of its proper divisors (3222000).

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

1341000 is a wasteful number, since it uses less digits than its factorization.

1341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

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

The square root of 1341000 is about 1158.0155439371. The cubic root of 1341000 is about 110.2747950464.

Adding to 1341000 its reverse (1431), we get a palindrome (1342431).

The spelling of 1341000 in words is "one million, three 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 90 100 120 125 149 150 180 200 225 250 298 300 360 375 447 450 500 596 600 745 750 894 900 1000 1125 1192 1341 1490 1500 1788 1800 2235 2250 2682 2980 3000 3576 3725 4470 4500 5364 5960 6705 7450 8940 9000 10728 11175 13410 14900 17880 18625 22350 26820 29800 33525 37250 44700 53640 55875 67050 74500 89400 111750 134100 149000 167625 223500 268200 335250 447000 670500 1341000