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34367216 = 24131271301
BaseRepresentation
bin1000001100011…
…0011011110000
32101200000221212
42003012123300
532244222331
63224335252
7565054652
oct203063360
971600855
1034367216
1118443664
12b614528
137173a40
1447c86d2
15303cd2b
hex20c66f0

34367216 has 40 divisors (see below), whose sum is σ = 72328704. Its totient is φ = 15724800.

The previous prime is 34367213. The next prime is 34367231. The reversal of 34367216 is 61276343.

It is a super-2 number, since 2×343672162 = 2362211071181312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34367213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25766 + ... + 27066.

Almost surely, 234367216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34367216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36164352).

34367216 is an abundant number, since it is smaller than the sum of its proper divisors (37961488).

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

34367216 is a wasteful number, since it uses less digits than its factorization.

34367216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1443 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 34367216 is about 5862.3558404450. The cubic root of 34367216 is about 325.1233173054.

The spelling of 34367216 in words is "thirty-four million, three hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 1016 1301 1651 2032 2602 3302 5204 6604 10408 13208 16913 20816 26416 33826 67652 135304 165227 270608 330454 660908 1321816 2147951 2643632 4295902 8591804 17183608 34367216