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11341000 = 2353111031
BaseRepresentation
bin101011010000…
…110011001000
3210100011221001
4223100303020
510400403000
61043024344
7165253066
oct53206310
923304831
1011341000
116446730
12396b0b4
132471068
141713036
15ee046a
hexad0cc8

11341000 has 64 divisors (see below), whose sum is σ = 28978560. Its totient is φ = 4120000.

The previous prime is 11340991. The next prime is 11341069. The reversal of 11341000 is 14311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10485 + ... + 11515.

It is an arithmetic number, because the mean of its divisors is an integer number (452790).

Almost surely, 211341000 is an apocalyptic number.

11341000 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 11341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14489280).

11341000 is an abundant number, since it is smaller than the sum of its proper divisors (17637560).

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

11341000 is a wasteful number, since it uses less digits than its factorization.

11341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11341000 is about 3367.6401232911. The cubic root of 11341000 is about 224.6727753663.

Adding to 11341000 its reverse (14311), we get a palindrome (11355311).

The spelling of 11341000 in words is "eleven million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1031 1100 1375 2062 2200 2750 4124 5155 5500 8248 10310 11000 11341 20620 22682 25775 41240 45364 51550 56705 90728 103100 113410 128875 206200 226820 257750 283525 453640 515500 567050 1031000 1134100 1417625 2268200 2835250 5670500 11341000