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10343970 = 2335713421
BaseRepresentation
bin100111011101…
…011000100010
3201110112021000
4213131120202
510122001340
61005412430
7153631230
oct47353042
921415230
1010343970
11592563a
12356a116
1321b22c0
141533950
15d94d30
hex9dd622

10343970 has 128 divisors (see below), whose sum is σ = 34030080. Its totient is φ = 2177280.

The previous prime is 10343947. The next prime is 10344001. The reversal of 10343970 is 7934301.

10343970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24360 + ... + 24780.

It is an arithmetic number, because the mean of its divisors is an integer number (265860).

Almost surely, 210343970 is an apocalyptic number.

10343970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015040).

10343970 is an abundant number, since it is smaller than the sum of its proper divisors (23686110).

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

10343970 is a wasteful number, since it uses less digits than its factorization.

10343970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10343970 is about 3216.2042845566. The cubic root of 10343970 is about 217.8858786016.

The spelling of 10343970 in words is "ten million, three hundred forty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 421 455 546 585 630 702 819 842 910 945 1170 1263 1365 1638 1755 1890 2105 2457 2526 2730 2947 3510 3789 4095 4210 4914 5473 5894 6315 7578 8190 8841 10946 11367 12285 12630 14735 16419 17682 18945 22734 24570 26523 27365 29470 32838 37890 38311 44205 49257 53046 54730 56835 76622 79569 82095 88410 98514 113670 114933 132615 147771 159138 164190 191555 229866 246285 265230 295542 344799 383110 397845 492570 574665 689598 738855 795690 1034397 1149330 1477710 1723995 2068794 3447990 5171985 10343970