Search a number
-
+
10343808 = 27334173
BaseRepresentation
bin100111011101…
…010110000000
3201110112001000
4213131112000
510122000213
61005412000
7153630606
oct47352600
921415030
1010343808
115925502
12356a000
1321b21c7
141533876
15d94c73
hex9dd580

10343808 has 128 divisors (see below), whose sum is σ = 31701600. Its totient is φ = 3317760.

The previous prime is 10343761. The next prime is 10343903. The reversal of 10343808 is 80834301.

It is a tau number, because it is divible by the number of its divisors (128).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141660 + ... + 141732.

Almost surely, 210343808 is an apocalyptic number.

10343808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850800).

10343808 is an abundant number, since it is smaller than the sum of its proper divisors (21357792).

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

10343808 is an equidigital number, since it uses as much as digits as its factorization.

10343808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

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

The square root of 10343808 is about 3216.1790994906. The cubic root of 10343808 is about 217.8847411371.

The spelling of 10343808 in words is "ten million, three hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 73 82 96 108 123 128 144 146 164 192 216 219 246 288 292 328 369 384 432 438 492 576 584 656 657 738 864 876 984 1107 1152 1168 1312 1314 1476 1728 1752 1968 1971 2214 2336 2624 2628 2952 2993 3456 3504 3936 3942 4428 4672 5248 5256 5904 5986 7008 7872 7884 8856 8979 9344 10512 11808 11972 14016 15744 15768 17712 17958 21024 23616 23944 26937 28032 31536 35424 35916 42048 47232 47888 53874 63072 70848 71832 80811 84096 95776 107748 126144 141696 143664 161622 191552 215496 252288 287328 323244 383104 430992 574656 646488 861984 1149312 1292976 1723968 2585952 3447936 5171904 10343808