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3213072 = 243253421
BaseRepresentation
bin1100010000011100010000
320001020111200
430100130100
51310304242
6152511200
736211362
oct14203420
96036450
103213072
1118a5035
1210ab500
13886635
145d8d32
1543704c
hex310710

3213072 has 60 divisors (see below), whose sum is σ = 9183564. Its totient is φ = 1048320.

The previous prime is 3213059. The next prime is 3213073. The reversal of 3213072 is 2703123.

3213072 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 2359296 = 924^2 + 1536^2 .

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 (3213073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7422 + ... + 7842.

Almost surely, 23213072 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 3213072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591782).

3213072 is an abundant number, since it is smaller than the sum of its proper divisors (5970492).

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

3213072 is a wasteful number, since it uses less digits than its factorization.

3213072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3213072 is about 1792.5043933001. The cubic root of 3213072 is about 147.5616442518.

Adding to 3213072 its reverse (2703123), we get a palindrome (5916195).

The spelling of 3213072 in words is "three million, two hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 421 424 477 636 842 848 954 1263 1272 1684 1908 2526 2544 3368 3789 3816 5052 6736 7578 7632 10104 15156 20208 22313 30312 44626 60624 66939 89252 133878 178504 200817 267756 357008 401634 535512 803268 1071024 1606536 3213072