Search a number
-
+
3233360 = 245133109
BaseRepresentation
bin1100010101011001010000
320002021100002
430111121100
51311431420
6153145132
736324464
oct14253120
96067302
103233360
1119092a9
1210bb1a8
13892940
146024a4
1543d075
hex315650

3233360 has 40 divisors (see below), whose sum is σ = 8098440. Its totient is φ = 1193472.

The previous prime is 3233359. The next prime is 3233369. The reversal of 3233360 is 633323.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 3225616 = 88^2 + 1796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (202461).

Almost surely, 23233360 is an apocalyptic number.

It is an amenable number.

3233360 is an abundant number, since it is smaller than the sum of its proper divisors (4865080).

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

3233360 is a wasteful number, since it uses less digits than its factorization.

3233360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3233360 is about 1798.1546095928. The cubic root of 3233360 is about 147.8715710797.

Adding to 3233360 its reverse (633323), we get a palindrome (3866683).

The spelling of 3233360 in words is "three million, two hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3109 6218 12436 15545 24872 31090 40417 49744 62180 80834 124360 161668 202085 248720 323336 404170 646672 808340 1616680 3233360