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34334220 = 22351741821
BaseRepresentation
bin1000001011111…
…0011000001100
32101121100200210
42002332120030
532242143340
63223522420
7564556524
oct202763014
971540623
1034334220
1118420898
12b5b9410
137161a0b
1447ba684
153033180
hex20be60c

34334220 has 96 divisors (see below), whose sum is σ = 104400576. Its totient is φ = 8396800.

The previous prime is 34334207. The next prime is 34334233. The reversal of 34334220 is 2243343.

It is an interprime number because it is at equal distance from previous prime (34334207) and next prime (34334233).

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 31 ways as a sum of consecutive naturals, for example, 41410 + ... + 42230.

It is an arithmetic number, because the mean of its divisors is an integer number (1087506).

Almost surely, 234334220 is an apocalyptic number.

34334220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34334220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52200288).

34334220 is an abundant number, since it is smaller than the sum of its proper divisors (70066356).

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

34334220 is a wasteful number, since it uses less digits than its factorization.

34334220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34334220 is about 5859.5409376503. The cubic root of 34334220 is about 325.0192335757.

Adding to 34334220 its reverse (2243343), we get a palindrome (36577563).

The spelling of 34334220 in words is "thirty-four million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 821 1020 1230 1394 1642 2091 2460 2463 2788 3284 3485 4105 4182 4926 6970 8210 8364 9852 10455 12315 13940 13957 16420 20910 24630 27914 33661 41820 41871 49260 55828 67322 69785 83742 100983 134644 139570 167484 168305 201966 209355 279140 336610 403932 418710 504915 572237 673220 837420 1009830 1144474 1716711 2019660 2288948 2861185 3433422 5722370 6866844 8583555 11444740 17167110 34334220