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3313664 = 212809
BaseRepresentation
bin1100101001000000000000
320020100111022
430221000000
51322014124
6155005012
740110554
oct14510000
96210438
103313664
111963672
121139768
138c0363
14623864
15456c5e
hex329000

3313664 has 26 divisors (see below), whose sum is σ = 6634710. Its totient is φ = 1654784.

The previous prime is 3313663. The next prime is 3313669. The reversal of 3313664 is 4663133.

It can be written as a sum of positive squares in only one way, i.e., 3211264 + 102400 = 1792^2 + 320^2 .

It is a d-powerful number, because it can be written as 310 + 313 + 1 + 313 + 63 + 63 + 48 .

It is not an unprimeable number, because it can be changed into a prime (3313663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3692 + ... + 4500.

Almost surely, 23313664 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 3313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317355).

3313664 is an abundant number, since it is smaller than the sum of its proper divisors (3321046).

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

3313664 is an frugal number, since it uses more digits than its factorization.

3313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 811 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

The square root of 3313664 is about 1820.3472196260. The cubic root of 3313664 is about 149.0857575780.

Adding to 3313664 its reverse (4663133), we get a palindrome (7976797).

The spelling of 3313664 in words is "three million, three hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 809 1024 1618 2048 3236 4096 6472 12944 25888 51776 103552 207104 414208 828416 1656832 3313664