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3426192 = 2433711103
BaseRepresentation
bin1101000100011110010000
320110001212000
431010132100
51334114232
6201234000
741056620
oct15043620
96401760
103426192
111a30170
121192900
1392c643
14652880
1547a27c
hex344790

3426192 has 160 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 881280.

The previous prime is 3426169. The next prime is 3426217. The reversal of 3426192 is 2916243.

3426192 is a `hidden beast` number, since 3 + 42 + 619 + 2 = 666.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33213 + ... + 33315.

It is an arithmetic number, because the mean of its divisors is an integer number (77376).

Almost surely, 23426192 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 3426192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

3426192 is an abundant number, since it is smaller than the sum of its proper divisors (8953968).

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

3426192 is a wasteful number, since it uses less digits than its factorization.

3426192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3426192 is about 1850.9975688801. The cubic root of 3426192 is about 150.7545975183.

The spelling of 3426192 in words is "three million, four hundred twenty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 103 108 112 126 132 144 154 168 176 189 198 206 216 231 252 264 297 308 309 336 378 396 412 432 462 504 528 594 616 618 693 721 756 792 824 924 927 1008 1133 1188 1232 1236 1386 1442 1512 1584 1648 1848 1854 2079 2163 2266 2376 2472 2772 2781 2884 3024 3399 3696 3708 4158 4326 4532 4752 4944 5544 5562 5768 6489 6798 7416 7931 8316 8652 9064 10197 11088 11124 11536 12978 13596 14832 15862 16632 17304 18128 19467 20394 22248 23793 25956 27192 30591 31724 33264 34608 38934 40788 44496 47586 51912 54384 61182 63448 71379 77868 81576 95172 103824 122364 126896 142758 155736 163152 190344 214137 244728 285516 311472 380688 428274 489456 571032 856548 1142064 1713096 3426192