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11017344 = 273132207
BaseRepresentation
bin101010000001…
…110010000000
3202201201221210
4222001302000
510310023334
61032050120
7162434352
oct52016200
922651853
1011017344
116245548
123833940
132389950
14166b0d2
15e795e9
hexa81c80

11017344 has 64 divisors (see below), whose sum is σ = 31530240. Its totient is φ = 3388416.

The previous prime is 11017339. The next prime is 11017367. The reversal of 11017344 is 44371011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11017344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3889 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (492660).

Almost surely, 211017344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765120).

11017344 is an abundant number, since it is smaller than the sum of its proper divisors (20512896).

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

11017344 is a wasteful number, since it uses less digits than its factorization.

11017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11017344 is about 3319.2384668776. The cubic root of 11017344 is about 222.5148346798.

Adding to 11017344 its reverse (44371011), we get a palindrome (55388355).

The spelling of 11017344 in words is "eleven million, seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2207 2496 4414 4992 6621 8828 13242 17656 26484 28691 35312 52968 57382 70624 86073 105936 114764 141248 172146 211872 229528 282496 344292 423744 459056 688584 847488 918112 1377168 1836224 2754336 3672448 5508672 11017344