Search a number
-
+
3302064 = 243223997
BaseRepresentation
bin1100100110001010110000
320012202120200
430212022300
51321131224
6154435200
740032003
oct14461260
96182520
103302064
111955987
121132b00
138b7cac
1461d53a
154535c9
hex3262b0

3302064 has 60 divisors (see below), whose sum is σ = 9652656. Its totient is φ = 1051776.

The previous prime is 3302011. The next prime is 3302069. The reversal of 3302064 is 4602033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3302069) 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, 2814 + ... + 3810.

Almost surely, 23302064 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 3302064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826328).

3302064 is an abundant number, since it is smaller than the sum of its proper divisors (6350592).

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

3302064 is a wasteful number, since it uses less digits than its factorization.

3302064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3302064 is about 1817.1582209593. The cubic root of 3302064 is about 148.9115881664.

Adding to 3302064 its reverse (4602033), we get a palindrome (7904097).

The spelling of 3302064 in words is "three million, three hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 997 1104 1656 1994 2991 3312 3988 5982 7976 8973 11964 15952 17946 22931 23928 35892 45862 47856 68793 71784 91724 137586 143568 183448 206379 275172 366896 412758 550344 825516 1100688 1651032 3302064