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64051344 = 2433759359
BaseRepresentation
bin1111010001010…
…1100010010000
311110112010221000
43310111202100
5112344120334
610204502000
71405266420
oct364254220
9143463830
1064051344
11331787a5
121954a900
1310368006
148714480
155953299
hex3d15890

64051344 has 160 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 17940096.

The previous prime is 64051333. The next prime is 64051367. The reversal of 64051344 is 44315046.

64051344 is a `hidden beast` number, since 640 + 5 + 13 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178237 + ... + 178595.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 264051344 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 64051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

64051344 is an abundant number, since it is smaller than the sum of its proper divisors (150220656).

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

64051344 is a wasteful number, since it uses less digits than its factorization.

64051344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64051344 is about 8003.2083566530. The cubic root of 64051344 is about 400.1069380747.

It can be divided in two parts, 640 and 51344, that added together give a square (51984 = 2282).

The spelling of 64051344 in words is "sixty-four million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 359 378 413 432 472 504 531 708 718 756 826 944 1008 1062 1077 1239 1416 1436 1512 1593 1652 2124 2154 2478 2513 2832 2872 3024 3186 3231 3304 3717 4248 4308 4956 5026 5744 6372 6462 6608 7434 7539 8496 8616 9693 9912 10052 11151 12744 12924 14868 15078 17232 19386 19824 20104 21181 22302 22617 25488 25848 29736 30156 38772 40208 42362 44604 45234 51696 59472 60312 63543 67851 77544 84724 89208 90468 120624 127086 135702 148267 155088 169448 178416 180936 190629 254172 271404 296534 338896 361872 381258 444801 508344 542808 571887 593068 762516 889602 1016688 1085616 1143774 1186136 1334403 1525032 1779204 2287548 2372272 2668806 3050064 3558408 4003209 4575096 5337612 7116816 8006418 9150192 10675224 16012836 21350448 32025672 64051344