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343045248 = 2737139817
BaseRepresentation
bin10100011100100…
…111010010000000
3212220111111121120
4110130213102000
51200304421443
654012352240
711333556630
oct2434472200
9786444546
10343045248
11166704a77
1296a75680
13560bc770
14337ba6c0
15201b3083
hex14727480

343045248 has 128 divisors (see below), whose sum is σ = 1121608320. Its totient is φ = 90464256.

The previous prime is 343045229. The next prime is 343045259. The reversal of 343045248 is 842540343.

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

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, 30036 + ... + 39852.

It is an arithmetic number, because the mean of its divisors is an integer number (8762565).

Almost surely, 2343045248 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 343045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560804160).

343045248 is an abundant number, since it is smaller than the sum of its proper divisors (778563072).

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

343045248 is a wasteful number, since it uses less digits than its factorization.

343045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 343045248 is about 18521.4807183443. The cubic root of 343045248 is about 700.0307795990.

The spelling of 343045248 in words is "three hundred forty-three million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 9817 11648 17472 19634 29451 34944 39268 58902 68719 78536 117804 127621 137438 157072 206157 235608 255242 274876 314144 382863 412314 471216 510484 549752 628288 765726 824628 893347 942432 1020968 1099504 1256576 1531452 1649256 1786694 1884864 2041936 2199008 2680041 3062904 3298512 3573388 3769728 4083872 4398016 5360082 6125808 6597024 7146776 8167744 8796032 10720164 12251616 13194048 14293552 16335488 21440328 24503232 26388096 28587104 42880656 49006464 57174208 85761312 114348416 171522624 343045248