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64327312 = 2471923743
BaseRepresentation
bin1111010101100…
…0111010010000
311111001011111001
43311120322100
5112431433222
610214431344
71410526120
oct365307220
9144034431
1064327312
1133347075
1219662554
13104337ca
148786c80
1559a9e27
hex3d58e90

64327312 has 120 divisors (see below), whose sum is σ = 157983936. Its totient is φ = 24820992.

The previous prime is 64327301. The next prime is 64327321. The reversal of 64327312 is 21372346.

64327312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (6048) is a multiple of the sum of its prime divisors (108).

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 23 ways as a sum of consecutive naturals, for example, 1495963 + ... + 1496005.

Almost surely, 264327312 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 64327312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78991968).

64327312 is an abundant number, since it is smaller than the sum of its proper divisors (93656624).

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

64327312 is a wasteful number, since it uses less digits than its factorization.

64327312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 64327312 is about 8020.4309111169. The cubic root of 64327312 is about 400.6807408226.

Adding to 64327312 its reverse (21372346), we get a palindrome (85699658).

The spelling of 64327312 in words is "sixty-four million, three hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 43 56 74 76 86 112 133 148 152 172 259 266 296 301 304 344 361 518 532 592 602 688 703 722 817 1036 1064 1204 1406 1444 1591 1634 2072 2128 2408 2527 2812 2888 3182 3268 4144 4816 4921 5054 5624 5719 5776 6364 6536 9842 10108 11137 11248 11438 12728 13072 13357 15523 19684 20216 22274 22876 25456 26714 30229 31046 39368 40432 44548 45752 53428 60458 62092 78736 89096 91504 93499 106856 108661 120916 124184 178192 186998 211603 213712 217322 241832 248368 373996 423206 434644 483664 574351 747992 846412 869288 1148702 1495984 1692824 1738576 2297404 3385648 4020457 4594808 8040914 9189616 16081828 32163656 64327312