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34242264 = 233477549
BaseRepresentation
bin1000001010011…
…1111011011000
32101102200120000
42002213323120
532231223024
63221533000
7564024450
oct202477330
971380500
1034242264
11183687a1
12b574160
13712bbc4
144794d60
153015cc9
hex20a7ed8

34242264 has 80 divisors (see below), whose sum is σ = 109626000. Its totient is φ = 9782208.

The previous prime is 34242251. The next prime is 34242283. The reversal of 34242264 is 46224243.

34242264 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 (27).

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 762 + ... + 8310.

It is an arithmetic number, because the mean of its divisors is an integer number (1370325).

Almost surely, 234242264 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 34242264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54813000).

34242264 is an abundant number, since it is smaller than the sum of its proper divisors (75383736).

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

34242264 is a wasteful number, since it uses less digits than its factorization.

34242264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574 (or 7561 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 34242264 is about 5851.6889869507. The cubic root of 34242264 is about 324.7288120414.

The spelling of 34242264 in words is "thirty-four million, two hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 7549 15098 22647 30196 45294 52843 60392 67941 90588 105686 135882 158529 181176 203823 211372 271764 317058 407646 422744 475587 543528 611469 634116 815292 951174 1222938 1268232 1426761 1630584 1902348 2445876 2853522 3804696 4280283 4891752 5707044 8560566 11414088 17121132 34242264