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64323640 = 23523139503
BaseRepresentation
bin1111010101100…
…0000000111000
311111000222110001
43311120000320
5112431324030
610214402344
71410512323
oct365300070
9144028401
1064323640
1133344337
12196603b4
1310431c34
1487857ba
1559a8cca
hex3d58038

64323640 has 64 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 24385152.

The previous prime is 64323601. The next prime is 64323641. The reversal of 64323640 is 4632346.

It is a junction number, because it is equal to n+sod(n) for n = 64323599 and 64323608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64323641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127629 + ... + 128131.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 264323640 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 64323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

64323640 is an abundant number, since it is smaller than the sum of its proper divisors (88085960).

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

64323640 is a wasteful number, since it uses less digits than its factorization.

64323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 64323640 is about 8020.2019924688. The cubic root of 64323640 is about 400.6731166496.

Adding to 64323640 its reverse (4632346), we get a palindrome (68955986).

The spelling of 64323640 in words is "sixty-four million, three hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 139 184 230 278 460 503 556 695 920 1006 1112 1390 2012 2515 2780 3197 4024 5030 5560 6394 10060 11569 12788 15985 20120 23138 25576 31970 46276 57845 63940 69917 92552 115690 127880 139834 231380 279668 349585 462760 559336 699170 1398340 1608091 2796680 3216182 6432364 8040455 12864728 16080910 32161820 64323640