Search a number
-
+
3320380 = 225737641
BaseRepresentation
bin1100101010101000111100
320020200201001
430222220330
51322223010
6155100044
740136260
oct14525074
96220631
103320380
111968718
121141624
138c342b
146260a0
15458c3a
hex32aa3c

3320380 has 48 divisors (see below), whose sum is σ = 8197056. Its totient is φ = 1105920.

The previous prime is 3320377. The next prime is 3320381. The reversal of 3320380 is 830233.

3320380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33203802 = 22049846688800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4860 + ... + 5500.

It is an arithmetic number, because the mean of its divisors is an integer number (170772).

Almost surely, 23320380 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 3320380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098528).

3320380 is an abundant number, since it is smaller than the sum of its proper divisors (4876676).

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

3320380 is a wasteful number, since it uses less digits than its factorization.

3320380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3320380 is about 1822.1909888922. The cubic root of 3320380 is about 149.1864099345.

The spelling of 3320380 in words is "three million, three hundred twenty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 641 740 1036 1282 1295 2564 2590 3205 4487 5180 6410 8974 12820 17948 22435 23717 44870 47434 89740 94868 118585 166019 237170 332038 474340 664076 830095 1660190 3320380