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34103214 = 2331943773
BaseRepresentation
bin1000001000010…
…1111110101110
32101011121211000
42002011332232
532212300324
63214541130
7562605165
oct202057656
971147730
1034103214
1118283282
12b5077a6
1370b0822
14475a3dc
152ed99c9
hex2085fae

34103214 has 64 divisors (see below), whose sum is σ = 81734400. Its totient is φ = 10505376.

The previous prime is 34103203. The next prime is 34103243. The reversal of 34103214 is 41230143.

34103214 is a `hidden beast` number, since 341 + 0 + 321 + 4 = 666.

34103214 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 (18).

It is an alternating number because its digits alternate between odd and even.

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 31 ways as a sum of consecutive naturals, for example, 43732 + ... + 44504.

It is an arithmetic number, because the mean of its divisors is an integer number (1277100).

Almost surely, 234103214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40867200).

34103214 is an abundant number, since it is smaller than the sum of its proper divisors (47631186).

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

34103214 is a wasteful number, since it uses less digits than its factorization.

34103214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34103214 is about 5839.7957156051. The cubic root of 34103214 is about 324.2886659208.

Adding to 34103214 its reverse (41230143), we get a palindrome (75333357).

The spelling of 34103214 in words is "thirty-four million, one hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 86 114 129 171 258 342 387 513 773 774 817 1026 1161 1546 1634 2319 2322 2451 4638 4902 6957 7353 13914 14687 14706 20871 22059 29374 33239 41742 44061 44118 66478 88122 99717 132183 199434 264366 299151 396549 598302 631541 793098 897453 1263082 1794906 1894623 3789246 5683869 11367738 17051607 34103214