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343025320 = 23511317379
BaseRepresentation
bin10100011100100…
…010011010101000
3212220110111021111
4110130202122220
51200303302240
654012120104
711333444551
oct2434423250
9786414244
10343025320
111666a1000
1296a66034
13560b3681
14337b3328
15201ac1ea
hex147226a8

343025320 has 128 divisors (see below), whose sum is σ = 901238400. Its totient is φ = 117089280.

The previous prime is 343025299. The next prime is 343025339. The reversal of 343025320 is 23520343.

It is a super-2 number, since 2×3430253202 = 235332740322204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 343025291 and 343025300.

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, 904891 + ... + 905269.

It is an arithmetic number, because the mean of its divisors is an integer number (7040925).

Almost surely, 2343025320 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 343025320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450619200).

343025320 is an abundant number, since it is smaller than the sum of its proper divisors (558213080).

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

343025320 is a wasteful number, since it uses less digits than its factorization.

343025320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 343025320 is about 18520.9427405842. The cubic root of 343025320 is about 700.0172240660.

Adding to 343025320 its reverse (23520343), we get a palindrome (366545663).

The spelling of 343025320 in words is "three hundred forty-three million, twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 379 440 484 605 680 748 758 935 968 1210 1331 1496 1516 1870 1895 2057 2420 2662 3032 3740 3790 4114 4169 4840 5324 6443 6655 7480 7580 8228 8338 10285 10648 12886 13310 15160 16456 16676 20570 20845 22627 25772 26620 32215 33352 41140 41690 45254 45859 51544 53240 64430 70873 82280 83380 90508 91718 113135 128860 141746 166760 181016 183436 226270 229295 257720 283492 354365 366872 452540 458590 504449 566984 708730 779603 905080 917180 1008898 1417460 1559206 1834360 2017796 2522245 2834920 3118412 3898015 4035592 5044490 6236824 7796030 8575633 10088980 15592060 17151266 20177960 31184120 34302532 42878165 68605064 85756330 171512660 343025320