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34424200 = 2352199059
BaseRepresentation
bin1000001101010…
…0010110001000
32101202221010101
42003110112020
532303033300
63225455144
7565413046
oct203242610
971687111
1034424200
1118482458
12b6414b4
137193965
144801396
15304eb6a
hex20d4588

34424200 has 48 divisors (see below), whose sum is σ = 84258000. Its totient is φ = 13043520.

The previous prime is 34424161. The next prime is 34424231. The reversal of 34424200 is 242443.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730 + ... + 8329.

It is an arithmetic number, because the mean of its divisors is an integer number (1755375).

Almost surely, 234424200 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 34424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42129000).

34424200 is an abundant number, since it is smaller than the sum of its proper divisors (49833800).

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

34424200 is a wasteful number, since it uses less digits than its factorization.

34424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 34424200 is about 5867.2139896206. The cubic root of 34424200 is about 325.3029128518.

Adding to 34424200 its reverse (242443), we get a palindrome (34666643).

The spelling of 34424200 in words is "thirty-four million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 9059 18118 36236 45295 72472 90590 172121 181180 226475 344242 362360 452950 688484 860605 905900 1376968 1721210 1811800 3442420 4303025 6884840 8606050 17212100 34424200