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343450980 = 223251908061
BaseRepresentation
bin10100011110001…
…010010101100100
3212221021010011200
4110132022111210
51200410412410
654025202500
711340166545
oct2436122544
9787233150
10343450980
11166961894
1297030430
1356202342
14338844cc
15202433c0
hex1478a564

343450980 has 36 divisors (see below), whose sum is σ = 1041801852. Its totient is φ = 91586880.

The previous prime is 343450979. The next prime is 343450981. The reversal of 343450980 is 89054343.

343450980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (343450979) and next prime (343450981).

It can be written as a sum of positive squares in 2 ways, for example, as 268697664 + 74753316 = 16392^2 + 8646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (343450981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 953851 + ... + 954210.

Almost surely, 2343450980 is an apocalyptic number.

343450980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343450980 is an abundant number, since it is smaller than the sum of its proper divisors (698350872).

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

343450980 is a wasteful number, since it uses less digits than its factorization.

343450980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908076 (or 1908071 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 343450980 is about 18532.4304935969. The cubic root of 343450980 is about 700.3066547573.

The spelling of 343450980 in words is "three hundred forty-three million, four hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1908061 3816122 5724183 7632244 9540305 11448366 17172549 19080610 22896732 28620915 34345098 38161220 57241830 68690196 85862745 114483660 171725490 343450980