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343341024 = 253131032671
BaseRepresentation
bin10100011101101…
…111011111100000
3212221001112100020
4110131233133200
51200343403044
654022553440
711336231145
oct2435573740
9787045306
10343341024
11166897214
1296b98880
1356194290
14338563cc
1520220a19
hex1476f7e0

343341024 has 96 divisors (see below), whose sum is σ = 980388864. Its totient is φ = 104578560.

The previous prime is 343341023. The next prime is 343341029. The reversal of 343341024 is 420143343.

343341024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3433410242 = 235766117522737152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 343340985 and 343341003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343341023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127209 + ... + 129879.

It is an arithmetic number, because the mean of its divisors is an integer number (10212384).

Almost surely, 2343341024 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 343341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490194432).

343341024 is an abundant number, since it is smaller than the sum of its proper divisors (637047840).

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

343341024 is a wasteful number, since it uses less digits than its factorization.

343341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 343341024 is about 18529.4636727564. The cubic root of 343341024 is about 700.2319122739.

Adding to 343341024 its reverse (420143343), we get a palindrome (763484367).

The spelling of 343341024 in words is "three hundred forty-three million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 2472 2671 2678 3296 4017 4944 5342 5356 8013 8034 9888 10684 10712 16026 16068 21368 21424 32052 32136 34723 42736 42848 64104 64272 69446 85472 104169 128208 128544 138892 208338 256416 275113 277784 416676 550226 555568 825339 833352 1100452 1111136 1650678 1666704 2200904 3301356 3333408 3576469 4401808 6602712 7152938 8803616 10729407 13205424 14305876 21458814 26410848 28611752 42917628 57223504 85835256 114447008 171670512 343341024