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8340192 = 253372197
BaseRepresentation
bin11111110100001011100000
3120200201121000
4133310023200
54113341232
6454432000
7130614300
oct37641340
916621530
108340192
114787123
122962600
131960233
141171600
15aeb27c
hex7f42e0

8340192 has 144 divisors (see below), whose sum is σ = 28440720. Its totient is φ = 2370816.

The previous prime is 8340187. The next prime is 8340223. The reversal of 8340192 is 2910438.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42238 + ... + 42434.

It is an arithmetic number, because the mean of its divisors is an integer number (197505).

Almost surely, 28340192 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 8340192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220360).

8340192 is an abundant number, since it is smaller than the sum of its proper divisors (20100528).

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

8340192 is a wasteful number, since it uses less digits than its factorization.

8340192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8340192 is about 2887.9390575287. The cubic root of 8340192 is about 202.7956723281.

The spelling of 8340192 in words is "eight million, three hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 197 216 224 252 288 294 336 378 392 394 432 441 504 588 591 672 756 784 788 864 882 1008 1176 1182 1323 1379 1512 1568 1576 1764 1773 2016 2352 2364 2646 2758 3024 3152 3528 3546 4137 4704 4728 5292 5319 5516 6048 6304 7056 7092 8274 9456 9653 10584 10638 11032 12411 14112 14184 16548 18912 19306 21168 21276 22064 24822 28368 28959 33096 37233 38612 42336 42552 44128 49644 56736 57918 66192 74466 77224 85104 86877 99288 115836 132384 148932 154448 170208 173754 198576 231672 260631 297864 308896 347508 397152 463344 521262 595728 695016 926688 1042524 1191456 1390032 2085048 2780064 4170096 8340192