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343234080 = 253257172003
BaseRepresentation
bin10100011101010…
…101011000100000
3212220212002122100
4110131111120200
51200331442310
654020410400
711335304310
oct2435253040
9786762570
10343234080
11166823932
1296b46a00
13561576b7
1433829440
15201edec0
hex14755620

343234080 has 288 divisors, whose sum is σ = 1418062464. Its totient is φ = 73801728.

The previous prime is 343234079. The next prime is 343234081. The reversal of 343234080 is 80432343.

It is an interprime number because it is at equal distance from previous prime (343234079) and next prime (343234081).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (343234081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170359 + ... + 172361.

It is an arithmetic number, because the mean of its divisors is an integer number (4923828).

Almost surely, 2343234080 is an apocalyptic number.

343234080 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 343234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709031232).

343234080 is an abundant number, since it is smaller than the sum of its proper divisors (1074828384).

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

343234080 is a wasteful number, since it uses less digits than its factorization.

343234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 343234080 is about 18526.5776656133. The cubic root of 343234080 is about 700.1592018850.

The spelling of 343234080 in words is "three hundred forty-three million, two hundred thirty-four thousand, eighty".