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34304500 = 22531923157
BaseRepresentation
bin1000001011011…
…1000111110100
32101112211221001
42002313013310
532240221000
63223133044
7564404056
oct202670764
971484831
1034304500
111840052a
12b5a4184
137151329
1447ad8d6
15302946a
hex20b71f4

34304500 has 96 divisors (see below), whose sum is σ = 82817280. Its totient is φ = 12355200.

The previous prime is 34304483. The next prime is 34304503. The reversal of 34304500 is 540343.

34304500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34304503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218422 + ... + 218578.

It is an arithmetic number, because the mean of its divisors is an integer number (862680).

Almost surely, 234304500 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 34304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41408640).

34304500 is an abundant number, since it is smaller than the sum of its proper divisors (48512780).

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

34304500 is a wasteful number, since it uses less digits than its factorization.

34304500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 34304500 is about 5857.0043537631. The cubic root of 34304500 is about 324.9254266770.

Adding to 34304500 its reverse (540343), we get a palindrome (34844843).

The spelling of 34304500 in words is "thirty-four million, three hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 125 157 190 230 250 314 380 437 460 475 500 575 628 785 874 950 1150 1570 1748 1900 2185 2300 2375 2875 2983 3140 3611 3925 4370 4750 5750 5966 7222 7850 8740 9500 10925 11500 11932 14444 14915 15700 18055 19625 21850 29830 36110 39250 43700 54625 59660 68609 72220 74575 78500 90275 109250 137218 149150 180550 218500 274436 298300 343045 361100 372875 451375 686090 745750 902750 1372180 1491500 1715225 1805500 3430450 6860900 8576125 17152250 34304500