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342900000 = 253355127
BaseRepresentation
bin10100011100000…
…011110100100000
3212220020010101000
4110130003310200
51200240300000
654005312000
711332413312
oct2434036440
9786203330
10342900000
11166615933
1296a05600
135606b611
143377d7b2
1520185000
hex14703d20

342900000 has 288 divisors, whose sum is σ = 1259919360. Its totient is φ = 90720000.

The previous prime is 342899993. The next prime is 342900023. The reversal of 342900000 is 9243.

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

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699937 + ... + 2700063.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2342900000 is an apocalyptic number.

342900000 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 342900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

342900000 is an abundant number, since it is smaller than the sum of its proper divisors (917019360).

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

342900000 is an equidigital number, since it uses as much as digits as its factorization.

342900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 342900000 is about 18517.5592344132. The cubic root of 342900000 is about 699.9319661770.

Adding to 342900000 its reverse (9243), we get a palindrome (342909243).

The spelling of 342900000 in words is "three hundred forty-two million, nine hundred thousand".