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343530000 = 24325411347
BaseRepresentation
bin10100011110011…
…101101000010000
3212221102010120100
4110132131220100
51200420430000
654031012400
711340646122
oct2436355020
9787363510
10343530000
11166a061a0
129706a100
135622c2b8
14338a5212
152025ba00
hex1479da10

343530000 has 300 divisors, whose sum is σ = 1314366768. Its totient is φ = 83040000.

The previous prime is 343529981. The next prime is 343530073. The reversal of 343530000 is 35343.

It is a happy number.

343530000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 989827 + ... + 990173.

Almost surely, 2343530000 is an apocalyptic number.

343530000 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 343530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657183384).

343530000 is an abundant number, since it is smaller than the sum of its proper divisors (970836768).

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

343530000 is a wasteful number, since it uses less digits than its factorization.

343530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 368 counting only the distinct ones).

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

The square root of 343530000 is about 18534.5623093722. The cubic root of 343530000 is about 700.3603586739.

Adding to 343530000 its reverse (35343), we get a palindrome (343565343).

The spelling of 343530000 in words is "three hundred forty-three million, five hundred thirty thousand".