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343102104 = 233241711637
BaseRepresentation
bin10100011100110…
…101001010011000
3212220121101121100
4110130311022120
51200313231404
654013511400
711334214452
oct2434651230
9786541540
10343102104
11166743764
1296aa2560
135610c5c7
14337d32d2
15201c4d39
hex14735298

343102104 has 96 divisors (see below), whose sum is σ = 965895840. Its totient is φ = 109939200.

The previous prime is 343102099. The next prime is 343102129. The reversal of 343102104 is 401201343.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 208774 + ... + 210410.

It is an arithmetic number, because the mean of its divisors is an integer number (10061415).

Almost surely, 2343102104 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 343102104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482947920).

343102104 is an abundant number, since it is smaller than the sum of its proper divisors (622793736).

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

343102104 is a wasteful number, since it uses less digits than its factorization.

343102104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 343102104 is about 18523.0155212374. The cubic root of 343102104 is about 700.0694516124.

Adding to 343102104 its reverse (401201343), we get a palindrome (744303447).

It can be divided in two parts, 343102 and 104, that added together give a triangular number (343206 = T828).

The spelling of 343102104 in words is "three hundred forty-three million, one hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 71 72 82 123 142 164 213 246 284 328 369 426 492 568 639 738 852 984 1278 1476 1637 1704 2556 2911 2952 3274 4911 5112 5822 6548 8733 9822 11644 13096 14733 17466 19644 23288 26199 29466 34932 39288 52398 58932 67117 69864 104796 116227 117864 134234 201351 209592 232454 268468 348681 402702 464908 536936 604053 697362 805404 929816 1046043 1208106 1394724 1610808 2092086 2416212 2789448 4184172 4765307 4832424 8368344 9530614 14295921 19061228 28591842 38122456 42887763 57183684 85775526 114367368 171551052 343102104