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343444100 = 225229118429
BaseRepresentation
bin10100011110001…
…000101010000100
3212221020202201212
4110132020222010
51200410202400
654025110552
711340140516
oct2436105204
9787222655
10343444100
111669576aa
1297028458
13561cc17c
1433881bb6
1520241335
hex14788a84

343444100 has 36 divisors (see below), whose sum is σ = 770979300. Its totient is φ = 132639360.

The previous prime is 343444099. The next prime is 343444121. The reversal of 343444100 is 1444343.

It can be written as a sum of positive squares in 6 ways, for example, as 18939904 + 324504196 = 4352^2 + 18014^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 56315 + ... + 62114.

Almost surely, 2343444100 is an apocalyptic number.

It is an amenable number.

343444100 is an abundant number, since it is smaller than the sum of its proper divisors (427535200).

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

343444100 is a wasteful number, since it uses less digits than its factorization.

343444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118472 (or 118465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 343444100 is about 18532.2448721141. The cubic root of 343444100 is about 700.3019785519.

Adding to 343444100 its reverse (1444343), we get a palindrome (344888443).

The spelling of 343444100 in words is "three hundred forty-three million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 118429 236858 473716 592145 1184290 2368580 2960725 3434441 5921450 6868882 11842900 13737764 17172205 34344410 68688820 85861025 171722050 343444100