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34220430 = 2325794813
BaseRepresentation
bin1000001010001…
…0100110001110
32101101120121100
42002202212032
532230023210
63221243530
7563604006
oct202424616
971346540
1034220430
1118353352
12b5635a6
137121c9a
14478b006
15300e5c0
hex20a298e

34220430 has 48 divisors (see below), whose sum is σ = 90118080. Its totient is φ = 9008064.

The previous prime is 34220401. The next prime is 34220443. The reversal of 34220430 is 3402243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4704 + ... + 9516.

It is an arithmetic number, because the mean of its divisors is an integer number (1877460).

Almost surely, 234220430 is an apocalyptic number.

34220430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45059040).

34220430 is an abundant number, since it is smaller than the sum of its proper divisors (55897650).

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

34220430 is a wasteful number, since it uses less digits than its factorization.

34220430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34220430 is about 5849.8230742476. The cubic root of 34220430 is about 324.6597780898.

Adding to 34220430 its reverse (3402243), we get a palindrome (37622673).

The spelling of 34220430 in words is "thirty-four million, two hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 4813 7110 9626 14439 24065 28878 43317 48130 72195 86634 144390 216585 380227 433170 760454 1140681 1901135 2281362 3422043 3802270 5703405 6844086 11406810 17110215 34220430