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34108228 = 22711374173
BaseRepresentation
bin1000001000011…
…1001101000100
32101011212200201
42002013031010
532212430403
63215020244
7562625620
oct202071504
971155621
1034108228
1118287020
12b50a684
1370b2bab
14475c180
152edb21d
hex2087344

34108228 has 96 divisors (see below), whose sum is σ = 79365888. Its totient is φ = 12441600.

The previous prime is 34108213. The next prime is 34108253. The reversal of 34108228 is 82280143.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34108196 and 34108205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467200 + ... + 467272.

It is an arithmetic number, because the mean of its divisors is an integer number (826728).

Almost surely, 234108228 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 34108228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39682944).

34108228 is an abundant number, since it is smaller than the sum of its proper divisors (45257660).

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

34108228 is a wasteful number, since it uses less digits than its factorization.

34108228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 34108228 is about 5840.2249956658. The cubic root of 34108228 is about 324.3045579097.

The spelling of 34108228 in words is "thirty-four million, one hundred eight thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 37 41 44 73 74 77 82 146 148 154 164 259 287 292 308 407 451 511 518 574 803 814 902 1022 1036 1148 1517 1606 1628 1804 2044 2701 2849 2993 3034 3157 3212 5402 5621 5698 5986 6068 6314 10619 10804 11242 11396 11972 12628 16687 18907 20951 21238 22484 29711 32923 33374 37814 41902 42476 59422 65846 66748 75628 83804 110741 116809 118844 131692 207977 221482 230461 233618 415954 442964 460922 467236 775187 831908 921844 1218151 1550374 2436302 3100748 4872604 8527057 17054114 34108228