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343489920 = 27352931199
BaseRepresentation
bin10100011110010…
…011110110000000
3212221100002120220
4110132103312000
51200413134140
654030103040
711340421224
oct2436236600
9787302526
10343489920
11166989074
129704aa80
1356216c97
1433894784
152024ebd0
hex14793d80

343489920 has 256 divisors, whose sum is σ = 1175040000. Its totient is φ = 85155840.

The previous prime is 343489919. The next prime is 343489921. The reversal of 343489920 is 29984343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (343489919) and next prime (343489921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343489921) 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 31 ways as a sum of consecutive naturals, for example, 1725981 + ... + 1726179.

It is an arithmetic number, because the mean of its divisors is an integer number (4590000).

Almost surely, 2343489920 is an apocalyptic number.

343489920 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 343489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520000).

343489920 is an abundant number, since it is smaller than the sum of its proper divisors (831550080).

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

343489920 is a wasteful number, since it uses less digits than its factorization.

343489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 343489920 is about 18533.4810545672. The cubic root of 343489920 is about 700.3331203590. Note that the first 3 decimals are identical.

The spelling of 343489920 in words is "three hundred forty-three million, four hundred eighty-nine thousand, nine hundred twenty".