Search a number
-
+
64335040 = 2657211373
BaseRepresentation
bin1111010101101…
…0110011000000
311111001120002021
43311122303000
5112432210130
610214531224
71410560500
oct365326300
9144046067
1064335040
1133351960
1219666b14
1310437193
148789a00
1559ac37a
hex3d5acc0

64335040 has 168 divisors, whose sum is σ = 194931792. Its totient is φ = 19998720.

The previous prime is 64335023. The next prime is 64335049. The reversal of 64335040 is 4053346.

64335040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64334996 and 64335014.

It is not an unprimeable number, because it can be changed into a prime (64335049) 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 23 ways as a sum of consecutive naturals, for example, 172294 + ... + 172666.

Almost surely, 264335040 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 64335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97465896).

64335040 is an abundant number, since it is smaller than the sum of its proper divisors (130596752).

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

64335040 is a wasteful number, since it uses less digits than its factorization.

64335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 64335040 is about 8020.9126662743. The cubic root of 64335040 is about 400.6967855201.

Adding to 64335040 its reverse (4053346), we get a palindrome (68388386).

The spelling of 64335040 in words is "sixty-four million, three hundred thirty-five thousand, forty".