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10343220 = 22351943211
BaseRepresentation
bin100111011101…
…001100110100
3201110111020020
4213131030310
510121440340
61005405140
7153626106
oct47351464
921414206
1010343220
115925018
1235697b0
1321b1b64
141533576
15d949d0
hex9dd334

10343220 has 96 divisors (see below), whose sum is σ = 31342080. Its totient is φ = 2540160.

The previous prime is 10343213. The next prime is 10343237. The reversal of 10343220 is 2234301.

10343220 = T245 + T246 + ... + T424.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10343220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48915 + ... + 49125.

It is an arithmetic number, because the mean of its divisors is an integer number (326480).

Almost surely, 210343220 is an apocalyptic number.

10343220 is a gapful number since it is divisible by the number (10) 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 10343220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15671040).

10343220 is an abundant number, since it is smaller than the sum of its proper divisors (20998860).

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

10343220 is a wasteful number, since it uses less digits than its factorization.

10343220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 10343220 is about 3216.0876853718. The cubic root of 10343220 is about 217.8806124624.

Adding to 10343220 its reverse (2234301), we get a palindrome (12577521).

The spelling of 10343220 in words is "ten million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 129 172 190 211 215 228 258 285 380 422 430 516 570 633 645 817 844 860 1055 1140 1266 1290 1634 2110 2451 2532 2580 3165 3268 4009 4085 4220 4902 6330 8018 8170 9073 9804 12027 12255 12660 16036 16340 18146 20045 24054 24510 27219 36292 40090 45365 48108 49020 54438 60135 80180 90730 108876 120270 136095 172387 181460 240540 272190 344774 517161 544380 689548 861935 1034322 1723870 2068644 2585805 3447740 5171610 10343220