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343090048 = 2773779131
BaseRepresentation
bin10100011100110…
…010001110000000
3212220120210001211
4110130302032000
51200312340143
654013335504
711334134350
oct2434621600
9786523054
10343090048
111667356a4
1296a97594
1356106c82
14337ccb60
15201c149d
hex14732380

343090048 has 128 divisors (see below), whose sum is σ = 818611200. Its totient is φ = 140175360.

The previous prime is 343090037. The next prime is 343090079. The reversal of 343090048 is 840090343.

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

It is a congruent number.

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, 2618943 + ... + 2619073.

It is an arithmetic number, because the mean of its divisors is an integer number (6395400).

Almost surely, 2343090048 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 343090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409305600).

343090048 is an abundant number, since it is smaller than the sum of its proper divisors (475521152).

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

343090048 is a wasteful number, since it uses less digits than its factorization.

343090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 343090048 is about 18522.6900854061. The cubic root of 343090048 is about 700.0612517830.

The spelling of 343090048 in words is "three hundred forty-three million, ninety thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 79 112 128 131 148 158 224 259 262 296 316 448 518 524 553 592 632 896 917 1036 1048 1106 1184 1264 1834 2072 2096 2212 2368 2528 2923 3668 4144 4192 4424 4736 4847 5056 5846 7336 8288 8384 8848 9694 10112 10349 11692 14672 16576 16768 17696 19388 20461 20698 23384 29344 33152 33929 35392 38776 40922 41396 46768 58688 67858 70784 72443 77552 81844 82792 93536 117376 135716 144886 155104 163688 165584 187072 271432 289772 310208 327376 331168 374144 382913 542864 579544 620416 654752 662336 765826 1085728 1159088 1309504 1324672 1531652 2171456 2318176 2619008 2680391 3063304 4342912 4636352 5360782 6126608 9272704 10721564 12253216 21443128 24506432 42886256 49012864 85772512 171545024 343090048