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65344356 = 223271122143
BaseRepresentation
bin1111100101000…
…1001101100100
311112221211121100
43321101031210
5113212004411
610252320100
71422263220
oct371211544
9145854540
1065344356
1133981200
1219a73030
13106cb6cc
14896d780
155b0b456
hex3e51364

65344356 has 108 divisors (see below), whose sum is σ = 207590656. Its totient is φ = 16964640.

The previous prime is 65344343. The next prime is 65344361.

65344356 is nontrivially palindromic in base 10.

65344356 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-2 number, since 2×653443562 = 8539769722109472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65344356.

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 35 ways as a sum of consecutive naturals, for example, 29421 + ... + 31563.

Almost surely, 265344356 is an apocalyptic number.

65344356 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65344356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103795328).

65344356 is an abundant number, since it is smaller than the sum of its proper divisors (142246300).

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

65344356 is a wasteful number, since it uses less digits than its factorization.

65344356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2166 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 65344356 is about 8083.5855905656. The cubic root of 65344356 is about 402.7813569742.

The spelling of 65344356 in words is "sixty-five million, three hundred forty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2143 2178 2541 2772 3388 4286 4356 5082 6429 7623 8572 10164 12858 15001 15246 19287 23573 25716 30002 30492 38574 45003 47146 60004 70719 77148 90006 94292 135009 141438 165011 180012 212157 259303 270018 282876 330022 424314 495033 518606 540036 660044 777909 848628 990066 1037212 1485099 1555818 1815121 1980132 2333727 2970198 3111636 3630242 4667454 5445363 5940396 7260484 9334908 10890726 16336089 21781452 32672178 65344356