Search a number
-
+
3313300 = 2252171949
BaseRepresentation
bin1100101000111010010100
320020022222211
430220322110
51322011200
6155003204
740106524
oct14507224
96208884
103313300
111963371
121139504
138c0143
14623684
15456aba
hex328e94

3313300 has 36 divisors (see below), whose sum is σ = 7616700. Its totient is φ = 1246720.

The previous prime is 3313291. The next prime is 3313319. The reversal of 3313300 is 33133.

It can be written as a sum of positive squares in 6 ways, for example, as 94864 + 3218436 = 308^2 + 1794^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726 + ... + 2674.

It is an arithmetic number, because the mean of its divisors is an integer number (211575).

Almost surely, 23313300 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 3313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808350).

3313300 is an abundant number, since it is smaller than the sum of its proper divisors (4303400).

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

3313300 is a wasteful number, since it uses less digits than its factorization.

3313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 3313300 is about 1820.2472359545. The cubic root of 3313300 is about 149.0802984445.

Adding to 3313300 its reverse (33133), we get a palindrome (3346433).

Multiplying 3313300 by its reverse (33133), we get a square (109779568900 = 3313302).

3313300 divided by its reverse (33133) gives a square (100 = 102).

The spelling of 3313300 in words is "three million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1949 3898 7796 9745 19490 33133 38980 48725 66266 97450 132532 165665 194900 331330 662660 828325 1656650 3313300