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11064384 = 263319337
BaseRepresentation
bin101010001101…
…010001000000
3202211010111000
4222031101000
510313030014
61033052000
7163021452
oct52152100
922733430
1011064384
116277921
123857000
1323a5196
1416802d2
15e88509
hexa8d440

11064384 has 112 divisors (see below), whose sum is σ = 34340800. Its totient is φ = 3483648.

The previous prime is 11064379. The next prime is 11064397. The reversal of 11064384 is 48346011.

11064384 is a `hidden beast` number, since 1 + 10 + 643 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 32664 + ... + 33000.

Almost surely, 211064384 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 11064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170400).

11064384 is an abundant number, since it is smaller than the sum of its proper divisors (23276416).

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

11064384 is a wasteful number, since it uses less digits than its factorization.

11064384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11064384 is about 3326.3168820784. The cubic root of 11064384 is about 222.8310704917.

The spelling of 11064384 in words is "eleven million, sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 337 342 432 456 513 576 608 674 684 864 912 1011 1026 1216 1348 1368 1728 1824 2022 2052 2696 2736 3033 3648 4044 4104 5392 5472 6066 6403 8088 8208 9099 10784 10944 12132 12806 16176 16416 18198 19209 21568 24264 25612 32352 32832 36396 38418 48528 51224 57627 64704 72792 76836 97056 102448 115254 145584 153672 172881 194112 204896 230508 291168 307344 345762 409792 461016 582336 614688 691524 922032 1229376 1383048 1844064 2766096 3688128 5532192 11064384