Search a number
-
+
3366580 = 2257139173
BaseRepresentation
bin1100110101111010110100
320100001002011
430311322310
51330212310
6200054004
740421050
oct14657264
96301064
103366580
11199a3a8
121164304
1390b479
14638c60
1546778a
hex335eb4

3366580 has 48 divisors (see below), whose sum is σ = 8184960. Its totient is φ = 1139328.

The previous prime is 3366577. The next prime is 3366589. The reversal of 3366580 is 856633.

It is a super-2 number, since 2×33665802 = 22667721792800, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19374 + ... + 19546.

It is an arithmetic number, because the mean of its divisors is an integer number (170520).

Almost surely, 23366580 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 3366580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092480).

3366580 is an abundant number, since it is smaller than the sum of its proper divisors (4818380).

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

3366580 is a wasteful number, since it uses less digits than its factorization.

3366580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3366580 is about 1834.8242422641. The cubic root of 3366580 is about 149.8751553802.

The spelling of 3366580 in words is "three million, three hundred sixty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 173 278 346 556 692 695 865 973 1211 1390 1730 1946 2422 2780 3460 3892 4844 4865 6055 9730 12110 19460 24047 24220 48094 96188 120235 168329 240470 336658 480940 673316 841645 1683290 3366580