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34227360 = 2534519139
BaseRepresentation
bin1000001010010…
…0010010100000
32101101221010000
42002210102200
532230233420
63221340000
7563633136
oct202442240
971357100
1034227360
1118358582
12b567600
13712519b
14478d756
153011690
hex20a44a0

34227360 has 240 divisors, whose sum is σ = 128066400. Its totient is φ = 8584704.

The previous prime is 34227359. The next prime is 34227373. The reversal of 34227360 is 6372243.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246171 + ... + 246309.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 234227360 is an apocalyptic number.

34227360 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 34227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64033200).

34227360 is an abundant number, since it is smaller than the sum of its proper divisors (93839040).

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

34227360 is a wasteful number, since it uses less digits than its factorization.

34227360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34227360 is about 5850.4153698690. The cubic root of 34227360 is about 324.6816922933.

The spelling of 34227360 in words is "thirty-four million, two hundred twenty-seven thousand, three hundred sixty".