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343540080 = 2432513172127
BaseRepresentation
bin10100011110100…
…000000101110000
3212221102122101200
4110132200011300
51200421240310
654031131200
711341020402
oct2436400560
9787378350
10343540080
11166a12824
1297073b00
1356233a70
14338a8b72
152025e9c0
hex147a0170

343540080 has 360 divisors, whose sum is σ = 1330248192. Its totient is φ = 78962688.

The previous prime is 343540073. The next prime is 343540091. The reversal of 343540080 is 80045343.

It is a happy number.

343540080 is a `hidden beast` number, since 3 + 43 + 540 + 0 + 80 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2704977 + ... + 2705103.

Almost surely, 2343540080 is an apocalyptic number.

343540080 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 343540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665124096).

343540080 is an abundant number, since it is smaller than the sum of its proper divisors (986708112).

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

343540080 is a wasteful number, since it uses less digits than its factorization.

343540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 343540080 is about 18534.8342317918. The cubic root of 343540080 is about 700.3672086951.

The spelling of 343540080 in words is "three hundred forty-three million, five hundred forty thousand, eighty".