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34265550 = 235211191093
BaseRepresentation
bin1000001010110…
…1100111001110
32101110212111110
42002231213032
532232444200
63222232450
7564152364
oct202554716
971425443
1034265550
1118384240
12b585726
137139697
14479d634
15301cb50
hex20ad9ce

34265550 has 96 divisors (see below), whose sum is σ = 97672320. Its totient is φ = 7862400.

The previous prime is 34265537. The next prime is 34265587. The reversal of 34265550 is 5556243.

34265550 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 (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30804 + ... + 31896.

It is an arithmetic number, because the mean of its divisors is an integer number (1017420).

Almost surely, 234265550 is an apocalyptic number.

34265550 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 34265550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48836160).

34265550 is an abundant number, since it is smaller than the sum of its proper divisors (63406770).

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

34265550 is a wasteful number, since it uses less digits than its factorization.

34265550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 34265550 is about 5853.6783307592. The cubic root of 34265550 is about 324.8024045439.

The spelling of 34265550 in words is "thirty-four million, two hundred sixty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 150 165 190 209 275 285 330 418 475 550 570 627 825 950 1045 1093 1254 1425 1650 2090 2186 2850 3135 3279 5225 5465 6270 6558 10450 10930 12023 15675 16395 20767 24046 27325 31350 32790 36069 41534 54650 60115 62301 72138 81975 103835 120230 124602 163950 180345 207670 228437 300575 311505 360690 456874 519175 601150 623010 685311 901725 1038350 1142185 1370622 1557525 1803450 2284370 3115050 3426555 5710925 6853110 11421850 17132775 34265550