Search a number
-
+
64305 = 3251429
BaseRepresentation
bin1111101100110001
310021012200
433230301
54024210
61213413
7355323
oct175461
9107180
1064305
114434a
1231269
1323367
1419613
15140c0
hexfb31

64305 has 12 divisors (see below), whose sum is σ = 111540. Its totient is φ = 34272.

The previous prime is 64303. The next prime is 64319. The reversal of 64305 is 50346.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 51984 = 111^2 + 228^2 .

It is not a de Polignac number, because 64305 - 21 = 64303 is a prime.

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (9295).

264305 is an apocalyptic number.

It is an amenable number.

64305 is a deficient number, since it is larger than the sum of its proper divisors (47235).

64305 is a wasteful number, since it uses less digits than its factorization.

64305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 64305 is about 253.5843055080. The cubic root of 64305 is about 40.0634409945.

The spelling of 64305 in words is "sixty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 45 1429 4287 7145 12861 21435 64305