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343131200 = 2652214457
BaseRepresentation
bin10100011100111…
…100010001000000
3212220122212111222
4110130330101000
51200320144300
654014254212
711334365336
oct2434742100
9786585458
10343131200
11166763605
1296ab7368
135611c919
14337ddb56
15201cd785
hex1473c440

343131200 has 42 divisors (see below), whose sum is σ = 844321146. Its totient is φ = 137251840.

The previous prime is 343131133. The next prime is 343131209. The reversal of 343131200 is 2131343.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 93238336 + 249892864 = 9656^2 + 15808^2 .

It is not an unprimeable number, because it can be changed into a prime (343131209) 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 5 ways as a sum of consecutive naturals, for example, 105629 + ... + 108828.

Almost surely, 2343131200 is an apocalyptic number.

It is an amenable number.

343131200 is an abundant number, since it is smaller than the sum of its proper divisors (501189946).

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

343131200 is a wasteful number, since it uses less digits than its factorization.

343131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214479 (or 214464 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 343131200 is about 18523.8009058616. The cubic root of 343131200 is about 700.0892403233.

Adding to 343131200 its reverse (2131343), we get a palindrome (345262543).

The spelling of 343131200 in words is "three hundred forty-three million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 214457 428914 857828 1072285 1715656 2144570 3431312 4289140 5361425 6862624 8578280 10722850 13725248 17156560 21445700 34313120 42891400 68626240 85782800 171565600 343131200