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34228350 = 23252135851
BaseRepresentation
bin1000001010010…
…0100001111110
32101101222110200
42002210201332
532230301400
63221344330
7563636052
oct202444176
971358420
1034228350
11183592a2
12b5680a6
137125780
14478dc62
153011b00
hex20a487e

34228350 has 72 divisors (see below), whose sum is σ = 99050952. Its totient is φ = 8424000.

The previous prime is 34228343. The next prime is 34228373. The reversal of 34228350 is 5382243.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2925 + ... + 8775.

Almost surely, 234228350 is an apocalyptic number.

34228350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 5850×5851.

It is a practical number, because each smaller number is the sum of distinct divisors of 34228350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49525476).

34228350 is an abundant number, since it is smaller than the sum of its proper divisors (64822602).

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

34228350 is a wasteful number, since it uses less digits than its factorization.

34228350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34228350 is about 5850.4999786343. The cubic root of 34228350 is about 324.6848226524.

The spelling of 34228350 in words is "thirty-four million, two hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 5851 11702 17553 29255 35106 52659 58510 76063 87765 105318 146275 152126 175530 228189 263295 292550 380315 438825 456378 526590 684567 760630 877650 1140945 1316475 1369134 1901575 2281890 2632950 3422835 3803150 5704725 6845670 11409450 17114175 34228350