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341318016 = 27331371107
BaseRepresentation
bin10100010110000…
…001100110000000
3212210020202022000
4110112001212000
51144334134031
653511344000
711313104154
oct2426014600
9783222260
10341318016
11165735306
1296382000
1355936530
143348b064
151ee713e6
hex14581980

341318016 has 256 divisors, whose sum is σ = 1110412800. Its totient is φ = 102574080.

The previous prime is 341317973. The next prime is 341318053. The reversal of 341318016 is 610813143.

341318016 is a `hidden beast` number, since 341 + 318 + 0 + 1 + 6 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3189835 + ... + 3189941.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2341318016 is an apocalyptic number.

341318016 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 341318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

341318016 is an abundant number, since it is smaller than the sum of its proper divisors (769094784).

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

341318016 is a wasteful number, since it uses less digits than its factorization.

341318016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 341318016 is about 18474.7940719240. The cubic root of 341318016 is about 698.8539177864.

The spelling of 341318016 in words is "three hundred forty-one million, three hundred eighteen thousand, sixteen".