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65416344 = 2337292463
BaseRepresentation
bin1111100110001…
…0110010011000
311120002111100120
43321202302120
5113221310334
610254033240
71423013130
oct371426230
9146074316
1065416344
1133a202a4
1219aa8820
13107253c6
14898bac0
155b22949
hex3e62c98

65416344 has 96 divisors (see below), whose sum is σ = 193989120. Its totient is φ = 18006912.

The previous prime is 65416343. The next prime is 65416349. The reversal of 65416344 is 44361456.

65416344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65416343) 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 23 ways as a sum of consecutive naturals, for example, 141057 + ... + 141519.

It is an arithmetic number, because the mean of its divisors is an integer number (2020720).

Almost surely, 265416344 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 65416344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96994560).

65416344 is an abundant number, since it is smaller than the sum of its proper divisors (128572776).

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

65416344 is a wasteful number, since it uses less digits than its factorization.

65416344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 504 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 65416344 is about 8088.0370919031. The cubic root of 65416344 is about 402.9292135748.

The spelling of 65416344 in words is "sixty-five million, four hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 463 609 696 812 841 926 1218 1389 1624 1682 1852 2436 2523 2778 3241 3364 3704 4872 5046 5556 5887 6482 6728 9723 10092 11112 11774 12964 13427 17661 19446 20184 23548 25928 26854 35322 38892 40281 47096 53708 70644 77784 80562 93989 107416 141288 161124 187978 281967 322248 375956 389383 563934 751912 778766 1127868 1168149 1557532 2255736 2336298 2725681 3115064 4672596 5451362 8177043 9345192 10902724 16354086 21805448 32708172 65416344