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340130016 = 2535173183
BaseRepresentation
bin10100010001011…
…111100011100000
3212201000101200000
4110101133203200
51144033130031
653430100000
711300025462
oct2421374340
9781011600
10340130016
11164aa3796
1295aaa600
135560b885
143325c132
151ecd93e6
hex1445f8e0

340130016 has 288 divisors, whose sum is σ = 1109541888. Its totient is φ = 102021120.

The previous prime is 340129969. The next prime is 340130017. The reversal of 340130016 is 610031043.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340130017) 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 47 ways as a sum of consecutive naturals, for example, 4097911 + ... + 4097993.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2340130016 is an apocalyptic number.

340130016 is a gapful number since it is divisible by the number (36) 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 340130016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770944).

340130016 is an abundant number, since it is smaller than the sum of its proper divisors (769411872).

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

340130016 is a wasteful number, since it uses less digits than its factorization.

340130016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

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

The square root of 340130016 is about 18442.6141314077. The cubic root of 340130016 is about 698.0421591216.

Adding to 340130016 its reverse (610031043), we get a palindrome (950161059).

The spelling of 340130016 in words is "three hundred forty million, one hundred thirty thousand, sixteen".