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65344344 = 233131973151
BaseRepresentation
bin1111100101000…
…1001101011000
311112221211120220
43321101031120
5113212004334
610252320040
71422263202
oct371211530
9145854526
1065344344
113398119a
1219a73020
13106cb6c0
14896d772
155b0b449
hex3e51358

65344344 has 128 divisors (see below), whose sum is σ = 188966400. Its totient is φ = 18662400.

The previous prime is 65344343. The next prime is 65344361. The reversal of 65344344 is 44344356.

65344344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×653443443 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65344343) 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, 432669 + ... + 432819.

It is an arithmetic number, because the mean of its divisors is an integer number (1476300).

Almost surely, 265344344 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 65344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94483200).

65344344 is an abundant number, since it is smaller than the sum of its proper divisors (123622056).

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

65344344 is a wasteful number, since it uses less digits than its factorization.

65344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 69120, while the sum is 33.

The square root of 65344344 is about 8083.5848483207. The cubic root of 65344344 is about 402.7813323183.

It can be divided in two parts, 6534 and 4344, that added together give a triangular number (10878 = T147).

The spelling of 65344344 in words is "sixty-five million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 73 76 78 104 114 146 151 152 156 219 228 247 292 302 312 438 453 456 494 584 604 741 876 906 949 988 1208 1387 1482 1752 1812 1898 1963 1976 2774 2847 2869 2964 3624 3796 3926 4161 5548 5694 5738 5889 5928 7592 7852 8322 8607 11023 11096 11388 11476 11778 15704 16644 17214 18031 22046 22776 22952 23556 33069 33288 34428 36062 37297 44092 47112 54093 66138 68856 72124 74594 88184 108186 111891 132276 143299 144248 149188 209437 216372 223782 264552 286598 298376 418874 429897 432744 447564 573196 628311 837748 859794 895128 1146392 1256622 1675496 1719588 2513244 2722681 3439176 5026488 5445362 8168043 10890724 16336086 21781448 32672172 65344344