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344411214 = 237191572749
BaseRepresentation
bin10100100001110…
…100110001001110
3220000001220100220
4110201310301032
51201132124324
654101532210
711351306220
oct2441646116
9800056326
10344411214
11167458274
1297414066
135647a424
1433a54410
1520382b79
hex14874c4e

344411214 has 64 divisors (see below), whose sum is σ = 834240000. Its totient is φ = 92596608.

The previous prime is 344411213. The next prime is 344411227. The reversal of 344411214 is 412114443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344411213) by changing a digit.

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, 123912 + ... + 126660.

It is an arithmetic number, because the mean of its divisors is an integer number (13035000).

Almost surely, 2344411214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344411214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417120000).

344411214 is an abundant number, since it is smaller than the sum of its proper divisors (489828786).

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

344411214 is a wasteful number, since it uses less digits than its factorization.

344411214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937.

The product of its digits is 1536, while the sum is 24.

The square root of 344411214 is about 18558.3192665715. The cubic root of 344411214 is about 700.9586959274.

Adding to 344411214 its reverse (412114443), we get a palindrome (756525657).

The spelling of 344411214 in words is "three hundred forty-four million, four hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 157 266 314 399 471 798 942 1099 2198 2749 2983 3297 5498 5966 6594 8247 8949 16494 17898 19243 20881 38486 41762 52231 57729 62643 104462 115458 125286 156693 313386 365617 431593 731234 863186 1096851 1294779 2193702 2589558 3021151 6042302 8200267 9063453 16400534 18126906 24600801 49201602 57401869 114803738 172205607 344411214