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343350000 = 2432557109
BaseRepresentation
bin10100011101110…
…001101011110000
3212221001222122200
4110131301223300
51200344200000
654023103200
711336266260
oct2435615360
9787058580
10343350000
111668a2a34
1296ba1b00
13561983a6
14338597a0
1520223500
hex14771af0

343350000 has 360 divisors, whose sum is σ = 1385223840. Its totient is φ = 77760000.

The previous prime is 343349989. The next prime is 343350067. The reversal of 343350000 is 53343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3149946 + ... + 3150054.

It is an arithmetic number, because the mean of its divisors is an integer number (3847844).

Almost surely, 2343350000 is an apocalyptic number.

343350000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692611920).

343350000 is an abundant number, since it is smaller than the sum of its proper divisors (1041873840).

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

343350000 is a wasteful number, since it uses less digits than its factorization.

343350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 343350000 is about 18529.7058800187. The cubic root of 343350000 is about 700.2380142992.

The spelling of 343350000 in words is "three hundred forty-three million, three hundred fifty thousand".