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925344 = 2535717
BaseRepresentation
bin11100001111010100000
31202000100000
43201322200
5214102334
631500000
710602540
oct3417240
91660300
10925344
11582252
12387600
13265254
141a1320
15134299
hexe1ea0

925344 has 144 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 248832.

The previous prime is 925339. The next prime is 925349. The reversal of 925344 is 443529.

It is an interprime number because it is at equal distance from previous prime (925339) and next prime (925349).

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 not an unprimeable number, because it can be changed into a prime (925349) by changing a digit.

925344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54424 + ... + 54440.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2925344 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 925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

925344 is an abundant number, since it is smaller than the sum of its proper divisors (2376864).

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

925344 is a wasteful number, since it uses less digits than its factorization.

925344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 925344 is about 961.9480235439. The cubic root of 925344 is about 97.4468349206.

The spelling of 925344 in words is "nine hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 68 72 81 84 96 102 108 112 119 126 136 144 153 162 168 189 204 216 224 238 243 252 272 288 306 324 336 357 378 408 432 459 476 486 504 544 567 612 648 672 714 756 816 864 918 952 972 1008 1071 1134 1224 1296 1377 1428 1512 1632 1701 1836 1904 1944 2016 2142 2268 2448 2592 2754 2856 3024 3213 3402 3672 3808 3888 4131 4284 4536 4896 5508 5712 6048 6426 6804 7344 7776 8262 8568 9072 9639 11016 11424 12852 13608 14688 16524 17136 18144 19278 22032 25704 27216 28917 33048 34272 38556 44064 51408 54432 57834 66096 77112 102816 115668 132192 154224 231336 308448 462672 925344