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340339104 = 2533728039
BaseRepresentation
bin10100010010010…
…010100110100000
3212201102000111000
4110102102212200
51144111322404
653434352000
711301556200
oct2422224640
9781360430
10340339104
11165126896
1295b8b600
1355682ab1
14332b4400
151ed2b339
hex144929a0

340339104 has 144 divisors (see below), whose sum is σ = 1154865600. Its totient is φ = 97227648.

The previous prime is 340339037. The next prime is 340339117. The reversal of 340339104 is 401933043.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 38317 + ... + 46355.

It is an arithmetic number, because the mean of its divisors is an integer number (8019900).

Almost surely, 2340339104 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 340339104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577432800).

340339104 is an abundant number, since it is smaller than the sum of its proper divisors (814526496).

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

340339104 is a wasteful number, since it uses less digits than its factorization.

340339104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 340339104 is about 18448.2818712204. The cubic root of 340339104 is about 698.1851655557.

The spelling of 340339104 in words is "three hundred forty million, three hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 8039 10584 14112 16078 21168 24117 32156 42336 48234 56273 64312 72351 96468 112546 128624 144702 168819 192936 217053 225092 257248 289404 337638 385872 393911 434106 450184 506457 578808 675276 771744 787822 868212 900368 1012914 1157616 1181733 1350552 1519371 1575644 1736424 1800736 2025828 2315232 2363466 2701104 3038742 3151288 3472848 3545199 4051656 4726932 5402208 6077484 6302576 6945696 7090398 8103312 9453864 10635597 12154968 12605152 14180796 16206624 18907728 21271194 24309936 28361592 37815456 42542388 48619872 56723184 85084776 113446368 170169552 340339104