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64305240 = 23352321013
BaseRepresentation
bin1111010101001…
…1100001011000
311111000001012120
43311103201120
5112430231430
610214141240
71410404556
oct365234130
9144001176
1064305240
113333152a
1219651820
131042674c
14877cbd6
1559a3610
hex3d53858

64305240 has 96 divisors (see below), whose sum is σ = 201867120. Its totient is φ = 16386304.

The previous prime is 64305233. The next prime is 64305251. The reversal of 64305240 is 4250346.

64305240 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64305240.

It is a congruent number.

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, 62974 + ... + 63986.

Almost surely, 264305240 is an apocalyptic number.

64305240 is a gapful number since it is divisible by the number (60) 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 64305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100933560).

64305240 is an abundant number, since it is smaller than the sum of its proper divisors (137561880).

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

64305240 is a wasteful number, since it uses less digits than its factorization.

64305240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 64305240 is about 8019.0548071453. The cubic root of 64305240 is about 400.6349083619.

Adding to 64305240 its reverse (4250346), we get a palindrome (68555586).

The spelling of 64305240 in words is "sixty-four million, three hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1013 1058 1380 1587 2026 2116 2645 2760 3039 3174 4052 4232 5065 5290 6078 6348 7935 8104 10130 10580 12156 12696 15195 15870 20260 21160 23299 24312 30390 31740 40520 46598 60780 63480 69897 93196 116495 121560 139794 186392 232990 279588 349485 465980 535877 559176 698970 931960 1071754 1397940 1607631 2143508 2679385 2795880 3215262 4287016 5358770 6430524 8038155 10717540 12861048 16076310 21435080 32152620 64305240