Search a number
-
+
64383312 = 2437892153
BaseRepresentation
bin1111010110011…
…0100101010000
311111011000022010
43311212211100
5112440231222
610215542520
71411151310
oct365464520
9144130263
1064383312
1133385154
121968aa40
1310453146
14879d440
1559bb80c
hex3d66950

64383312 has 80 divisors (see below), whose sum is σ = 192309120. Its totient is φ = 18180096.

The previous prime is 64383307. The next prime is 64383313. The reversal of 64383312 is 21338346.

64383312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64383312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64383313) 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 15 ways as a sum of consecutive naturals, for example, 28828 + ... + 30980.

It is an arithmetic number, because the mean of its divisors is an integer number (2403864).

Almost surely, 264383312 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 64383312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96154560).

64383312 is an abundant number, since it is smaller than the sum of its proper divisors (127925808).

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

64383312 is a wasteful number, since it uses less digits than its factorization.

64383312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2254 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 64383312 is about 8023.9212359045. The cubic root of 64383312 is about 400.7969776785.

The spelling of 64383312 in words is "sixty-four million, three hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2153 2492 3738 4272 4306 4984 6459 7476 8612 9968 12918 14952 15071 17224 25836 29904 30142 34448 45213 51672 60284 90426 103344 120568 180852 191617 241136 361704 383234 574851 723408 766468 1149702 1341319 1532936 2299404 2682638 3065872 4023957 4598808 5365276 8047914 9197616 10730552 16095828 21461104 32191656 64383312