[go: up one dir, main page]

Search a number
-
+
3324120 = 233527701
BaseRepresentation
bin1100101011100011011000
320020212211120
430223203120
51322332440
6155125240
740153212
oct14534330
96225746
103324120
111970508
121143820
138c5047
146275b2
15459dd0
hex32b8d8

3324120 has 32 divisors (see below), whose sum is σ = 9972720. Its totient is φ = 886400.

The previous prime is 3324109. The next prime is 3324127. The reversal of 3324120 is 214233.

3324120 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 2×33241202 = 22099547548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3324120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324127) 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 7 ways as a sum of consecutive naturals, for example, 13731 + ... + 13970.

Almost surely, 23324120 is an apocalyptic number.

3324120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3324120 is an abundant number, since it is smaller than the sum of its proper divisors (6648600).

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

3324120 is a wasteful number, since it uses less digits than its factorization.

3324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27715 (or 27711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3324120 is about 1823.2169371745. The cubic root of 3324120 is about 149.2424023023.

Adding to 3324120 its reverse (214233), we get a palindrome (3538353).

The spelling of 3324120 in words is "three million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 27701 55402 83103 110804 138505 166206 221608 277010 332412 415515 554020 664824 831030 1108040 1662060 3324120