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343356416 = 2101325793
BaseRepresentation
bin10100011101110…
…011010000000000
3212221002022110022
4110131303100000
51200344401131
654023153012
711336324054
oct2435632000
9787068408
10343356416
111668a7837
1296ba5768
135619b2a0
143385bc64
152022537b
hex14773400

343356416 has 44 divisors (see below), whose sum is σ = 739204452. Its totient is φ = 158466048.

The previous prime is 343356413. The next prime is 343356421. The reversal of 343356416 is 614653343.

It can be written as a sum of positive squares in 2 ways, for example, as 36966400 + 306390016 = 6080^2 + 17504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343356413) 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 3 ways as a sum of consecutive naturals, for example, 416 + ... + 26208.

Almost surely, 2343356416 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 343356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369602226).

343356416 is an abundant number, since it is smaller than the sum of its proper divisors (395848036).

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

343356416 is a wasteful number, since it uses less digits than its factorization.

343356416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25826 (or 25808 counting only the distinct ones).

The product of its digits is 77760, while the sum is 35.

The square root of 343356416 is about 18529.8790066206. The cubic root of 343356416 is about 700.2423759313.

The spelling of 343356416 in words is "three hundred forty-three million, three hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6656 13312 25793 51586 103172 206344 335309 412688 670618 825376 1341236 1650752 2682472 3301504 5364944 6603008 10729888 13206016 21459776 26412032 42919552 85839104 171678208 343356416