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343450000 = 24556869
BaseRepresentation
bin10100011110001…
…010000110010000
3212221021001211101
4110132022012100
51200410400000
654025154144
711340163645
oct2436120620
9787231741
10343450000
11166961083
129702b954
1356201a6a
1433883dcc
1520242e6a
hex1478a190

343450000 has 60 divisors (see below), whose sum is σ = 831860820. Its totient is φ = 137360000.

The previous prime is 343449983. The next prime is 343450001. The reversal of 343450000 is 54343.

It can be written as a sum of positive squares in 6 ways, for example, as 340181136 + 3268864 = 18444^2 + 1808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 343450000.

It is not an unprimeable number, because it can be changed into a prime (343450001) 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 11 ways as a sum of consecutive naturals, for example, 46566 + ... + 53434.

It is an arithmetic number, because the mean of its divisors is an integer number (13864347).

Almost surely, 2343450000 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 343450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415930410).

343450000 is an abundant number, since it is smaller than the sum of its proper divisors (488410820).

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

343450000 is an frugal number, since it uses more digits than its factorization.

343450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 343450000 is about 18532.4040534411. The cubic root of 343450000 is about 700.3059886737.

The spelling of 343450000 in words is "three hundred forty-three million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 6869 10000 12500 13738 25000 27476 34345 50000 54952 68690 109904 137380 171725 274760 343450 549520 686900 858625 1373800 1717250 2747600 3434500 4293125 6869000 8586250 13738000 17172500 21465625 34345000 42931250 68690000 85862500 171725000 343450000