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34226160 = 2435142609
BaseRepresentation
bin1000001010001…
…1111111110000
32101101212110120
42002203333300
532230214120
63221330240
7563626503
oct202437760
971355416
1034226160
1118357691
12b566980
137124787
14478d13a
153011140
hex20a3ff0

34226160 has 40 divisors (see below), whose sum is σ = 106101840. Its totient is φ = 9126912.

The previous prime is 34226131. The next prime is 34226191. The reversal of 34226160 is 6162243.

34226160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34226160.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71065 + ... + 71544.

It is an arithmetic number, because the mean of its divisors is an integer number (2652546).

Almost surely, 234226160 is an apocalyptic number.

34226160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34226160 is an abundant number, since it is smaller than the sum of its proper divisors (71875680).

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

34226160 is a wasteful number, since it uses less digits than its factorization.

34226160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142625 (or 142619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34226160 is about 5850.3128121494. The cubic root of 34226160 is about 324.6778978378.

The spelling of 34226160 in words is "thirty-four million, two hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 142609 285218 427827 570436 713045 855654 1140872 1426090 1711308 2139135 2281744 2852180 3422616 4278270 5704360 6845232 8556540 11408720 17113080 34226160