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34244430 = 23511412531
BaseRepresentation
bin1000001010100…
…0011101001110
32101102210112020
42002220131032
532231310210
63221551010
7564033663
oct202503516
971383466
1034244430
111836a390
12b575466
13712cb9c
144795a6a
153016770
hex20a874e

34244430 has 64 divisors (see below), whose sum is σ = 91881216. Its totient is φ = 8096000.

The previous prime is 34244423. The next prime is 34244449. The reversal of 34244430 is 3444243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34244430.

It is a congruent number.

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, 12265 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (1435644).

Almost surely, 234244430 is an apocalyptic number.

34244430 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 34244430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45940608).

34244430 is an abundant number, since it is smaller than the sum of its proper divisors (57636786).

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

34244430 is a wasteful number, since it uses less digits than its factorization.

34244430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 34244430 is about 5851.8740587952. The cubic root of 34244430 is about 324.7356588217.

Adding to 34244430 its reverse (3444243), we get a palindrome (37688673).

The spelling of 34244430 in words is "thirty-four million, two hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2531 2706 4510 5062 6765 7593 12655 13530 15186 25310 27841 37965 55682 75930 83523 103771 139205 167046 207542 278410 311313 417615 518855 622626 835230 1037710 1141481 1556565 2282962 3113130 3424443 5707405 6848886 11414810 17122215 34244430