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343628361 = 321737101601
BaseRepresentation
bin10100011110110…
…101101001001001
3212221121010111100
4110132311221021
51200432101421
654033052013
711341535646
oct2436655111
9787533440
10343628361
11166a7308a
12970b7009
1356264cbb
14338ccdcd
152027ac26
hex147b5a49

343628361 has 48 divisors (see below), whose sum is σ = 546004368. Its totient is φ = 207360000.

The previous prime is 343628353. The next prime is 343628381. The reversal of 343628361 is 163826343.

It can be written as a sum of positive squares in 8 ways, for example, as 195860025 + 147768336 = 13995^2 + 12156^2 .

It is not a de Polignac number, because 343628361 - 23 = 343628353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (343628321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571461 + ... + 572061.

It is an arithmetic number, because the mean of its divisors is an integer number (11375091).

Almost surely, 2343628361 is an apocalyptic number.

It is an amenable number.

343628361 is a deficient number, since it is larger than the sum of its proper divisors (202376007).

343628361 is a wasteful number, since it uses less digits than its factorization.

343628361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 759 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 343628361 is about 18537.2155676089. The cubic root of 343628361 is about 700.4271957007.

The spelling of 343628361 in words is "three hundred forty-three million, six hundred twenty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 17 37 51 101 111 153 303 333 601 629 909 1717 1803 1887 3737 5151 5409 5661 10217 11211 15453 22237 30651 33633 60701 63529 66711 91953 182103 190587 200133 378029 546309 571761 1031917 1134087 2245937 3095751 3402261 6737811 9287253 20213433 38180929 114542787 343628361