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11334000 = 243531889
BaseRepresentation
bin101011001111…
…000101110000
3210022211022210
4223033011300
510400142000
61042532120
7165223506
oct53170560
923284283
1011334000
116441447
123967040
13246ab12
141710676
15edd350
hexacf170

11334000 has 80 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 3020800.

The previous prime is 11333977. The next prime is 11334023. The reversal of 11334000 is 43311.

11334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11333977) and next prime (11334023).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 5056 + ... + 6944.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 211334000 is an apocalyptic number.

11334000 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 11334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

11334000 is an abundant number, since it is smaller than the sum of its proper divisors (25226160).

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

11334000 is a wasteful number, since it uses less digits than its factorization.

11334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11334000 is about 3366.6006594189. The cubic root of 11334000 is about 224.6265409628.

Adding to 11334000 its reverse (43311), we get a palindrome (11377311).

The spelling of 11334000 in words is "eleven million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1889 2000 3000 3778 5667 6000 7556 9445 11334 15112 18890 22668 28335 30224 37780 45336 47225 56670 75560 90672 94450 113340 141675 151120 188900 226680 236125 283350 377800 453360 472250 566700 708375 755600 944500 1133400 1416750 1889000 2266800 2833500 3778000 5667000 11334000