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34505216 = 29193547
BaseRepresentation
bin1000001110100…
…0001000000000
32101221001020222
42003220020000
532313131331
63231322212
7566201204
oct203501000
971831228
1034505216
1118528309
12b680368
1371c17b5
144822b04
153068b7b
hex20e8200

34505216 has 40 divisors (see below), whose sum is σ = 72592080. Its totient is φ = 16339968.

The previous prime is 34505209. The next prime is 34505227. The reversal of 34505216 is 61250543.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7955 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (1814802).

Almost surely, 234505216 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 34505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36296040).

34505216 is an abundant number, since it is smaller than the sum of its proper divisors (38086864).

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

34505216 is an equidigital number, since it uses as much as digits as its factorization.

34505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 34505216 is about 5874.1140608606. The cubic root of 34505216 is about 325.5579087832.

Adding to 34505216 its reverse (61250543), we get a palindrome (95755759).

The spelling of 34505216 in words is "thirty-four million, five hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 3547 4864 7094 9728 14188 28376 56752 67393 113504 134786 227008 269572 454016 539144 908032 1078288 1816064 2156576 4313152 8626304 17252608 34505216