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34340220 = 22335193347
BaseRepresentation
bin1000001011111…
…1110101111100
32101121122221000
42002333311330
532242341340
63224010300
7564613155
oct202776574
971548830
1034340220
1118425352
12b600990
137164675
1447bc92c
153034d30
hex20bfd7c

34340220 has 96 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 8672832.

The previous prime is 34340197. The next prime is 34340227. The reversal of 34340220 is 2204343.

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

It is a junction number, because it is equal to n+sod(n) for n = 34340193 and 34340202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8587 + ... + 11933.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 234340220 is an apocalyptic number.

34340220 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 34340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

34340220 is an abundant number, since it is smaller than the sum of its proper divisors (78152580).

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

34340220 is a wasteful number, since it uses less digits than its factorization.

34340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3376 counting only the distinct ones).

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

The square root of 34340220 is about 5860.0529007851. The cubic root of 34340220 is about 325.0381651433.

Adding to 34340220 its reverse (2204343), we get a palindrome (36544563).

The spelling of 34340220 in words is "thirty-four million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3347 3420 5130 6694 10041 10260 13388 16735 20082 30123 33470 40164 50205 60246 63593 66940 90369 100410 120492 127186 150615 180738 190779 200820 254372 301230 317965 361476 381558 451845 572337 602460 635930 763116 903690 953895 1144674 1271860 1717011 1807380 1907790 2289348 2861685 3434022 3815580 5723370 6868044 8585055 11446740 17170110 34340220