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340255344 = 2431113192609
BaseRepresentation
bin10100010001111…
…110001001110000
3212201020202120210
4110101332021300
51144101132334
653432504120
711301060042
oct2421761160
9781222523
10340255344
11165079970
1295b4b040
1355653930
1433291a92
151ed115e9
hex1447e270

340255344 has 160 divisors (see below), whose sum is σ = 1087430400. Its totient is φ = 90132480.

The previous prime is 340255337. The next prime is 340255379. The reversal of 340255344 is 443552043.

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, 129112 + ... + 131720.

It is an arithmetic number, because the mean of its divisors is an integer number (6796440).

Almost surely, 2340255344 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 340255344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543715200).

340255344 is an abundant number, since it is smaller than the sum of its proper divisors (747175056).

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

340255344 is a wasteful number, since it uses less digits than its factorization.

340255344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 340255344 is about 18446.0116014276. The cubic root of 340255344 is about 698.1278846586.

The spelling of 340255344 in words is "three hundred forty million, two hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2609 2717 2964 3344 3432 3952 5016 5218 5434 5928 6864 7827 8151 10032 10436 10868 11856 15654 16302 20872 21736 28699 31308 32604 33917 41744 43472 49571 57398 62616 65208 67834 86097 99142 101751 114796 125232 130416 135668 148713 172194 198284 203502 229592 271336 297426 344388 373087 396568 407004 459184 542672 545281 594852 644423 688776 746174 793136 814008 1090562 1119261 1189704 1288846 1377552 1492348 1628016 1635843 1933269 2181124 2238522 2379408 2577692 2984696 3271686 3866538 4362248 4477044 5155384 5969392 6543372 7088653 7733076 8724496 8954088 10310768 13086744 14177306 15466152 17908176 21265959 26173488 28354612 30932304 42531918 56709224 85063836 113418448 170127672 340255344