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340065216000 = 29345365599
BaseRepresentation
bin1001111001011010111…
…01110110011000000000
31012111202201200212210000
410330231131312120000
521032423143403000
6420120201440000
733366063433266
oct4745535663000
91174681625700
10340065216000
11121247a49064
1255aa71a0000
13260b6566303
1412660248436
158ca4c79000
hex4f2d776600

340065216000 has 400 divisors, whose sum is σ = 1266745708800. Its totient is φ = 90682675200.

The previous prime is 340065215999. The next prime is 340065216031. The reversal of 340065216000 is 612560043.

340065216000 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 6 + 52 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3400652160002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5151201 + ... + 5216799.

It is an arithmetic number, because the mean of its divisors is an integer number (3166864272).

Almost surely, 2340065216000 is an apocalyptic number.

340065216000 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 340065216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633372854400).

340065216000 is an abundant number, since it is smaller than the sum of its proper divisors (926680492800).

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

340065216000 is an frugal number, since it uses more digits than its factorization.

340065216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65644 (or 65609 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 340065216000 its reverse (612560043), we get a palindrome (340677776043).

The spelling of 340065216000 in words is "three hundred forty billion, sixty-five million, two hundred sixteen thousand".