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343053828 = 2232134317047
BaseRepresentation
bin10100011100101…
…001011000000100
3212220111221101100
4110130221120010
51200310210303
654012500100
711333623635
oct2434513004
9786457340
10343053828
11166710467
1296a7a630
13560c3640
14337bd88c
15201b58a3
hex14729604

343053828 has 72 divisors (see below), whose sum is σ = 955642688. Its totient is φ = 103094208.

The previous prime is 343053827. The next prime is 343053839. The reversal of 343053828 is 828350343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343053792 and 343053801.

It is not an unprimeable number, because it can be changed into a prime (343053827) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11601 + ... + 28647.

Almost surely, 2343053828 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 343053828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477821344).

343053828 is an abundant number, since it is smaller than the sum of its proper divisors (612588860).

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

343053828 is a wasteful number, since it uses less digits than its factorization.

343053828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17113 (or 17108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 343053828 is about 18521.7123398459. The cubic root of 343053828 is about 700.0366157717.

The spelling of 343053828 in words is "three hundred forty-three million, fifty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 6708 10062 17047 20124 34094 51141 68188 102282 153423 204564 221611 306846 443222 613692 664833 733021 886444 1329666 1466042 1994499 2199063 2659332 2932084 3988998 4398126 6597189 7977996 8796252 9529273 13194378 19058546 26388756 28587819 38117092 57175638 85763457 114351276 171526914 343053828