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11334480 = 243583569
BaseRepresentation
bin101011001111…
…001101010000
3210022211222120
4223033031100
510400200410
61042534240
7165225063
oct53171520
923284876
1011334480
116441843
123967380
13246b0c1
1417108da
15edd570
hexacf350

11334480 has 80 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 2980864.

The previous prime is 11334467. The next prime is 11334481. The reversal of 11334480 is 8443311.

11334480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11334480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19636 + ... + 20204.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 211334480 is an apocalyptic number.

11334480 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 11334480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

11334480 is an abundant number, since it is smaller than the sum of its proper divisors (24288240).

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

11334480 is a wasteful number, since it uses less digits than its factorization.

11334480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11334480 is about 3366.6719471906. The cubic root of 11334480 is about 224.6297119297.

Adding to 11334480 its reverse (8443311), we get a palindrome (19777791).

The spelling of 11334480 in words is "eleven million, three hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 569 664 830 996 1138 1245 1328 1660 1707 1992 2276 2490 2845 3320 3414 3984 4552 4980 5690 6640 6828 8535 9104 9960 11380 13656 17070 19920 22760 27312 34140 45520 47227 68280 94454 136560 141681 188908 236135 283362 377816 472270 566724 708405 755632 944540 1133448 1416810 1889080 2266896 2833620 3778160 5667240 11334480