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9241344 = 28337191
BaseRepresentation
bin100011010000…
…001100000000
3122101111202000
4203100030000
54331210334
6530024000
7141356460
oct43201400
918344660
109241344
115242182
123118000
131bb7468
141327ba0
15c28299
hex8d0300

9241344 has 144 divisors (see below), whose sum is σ = 31395840. Its totient is φ = 2626560.

The previous prime is 9241339. The next prime is 9241357. The reversal of 9241344 is 4431429.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 48289 + ... + 48479.

Almost surely, 29241344 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 9241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697920).

9241344 is an abundant number, since it is smaller than the sum of its proper divisors (22154496).

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

9241344 is a wasteful number, since it uses less digits than its factorization.

9241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 9241344 is about 3039.9578944453. The cubic root of 9241344 is about 209.8513233356.

The spelling of 9241344 in words is "nine million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 191 192 216 224 252 256 288 336 378 382 384 432 448 504 573 576 672 756 764 768 864 896 1008 1146 1152 1337 1344 1512 1528 1719 1728 1792 2016 2292 2304 2674 2688 3024 3056 3438 3456 4011 4032 4584 5157 5348 5376 6048 6112 6876 6912 8022 8064 9168 10314 10696 12033 12096 12224 13752 16044 16128 18336 20628 21392 24066 24192 24448 27504 32088 36099 36672 41256 42784 48132 48384 48896 55008 64176 72198 73344 82512 85568 96264 110016 128352 144396 146688 165024 171136 192528 220032 256704 288792 330048 342272 385056 440064 513408 577584 660096 770112 1026816 1155168 1320192 1540224 2310336 3080448 4620672 9241344