Search a number
-
+
3361320 = 233259337
BaseRepresentation
bin1100110100101000101000
320022202212100
430310220220
51330030240
6200013400
740366524
oct14645050
96282770
103361320
111996456
121161260
13908c61
14636d84
15465e30
hex334a28

3361320 has 48 divisors (see below), whose sum is σ = 10925460. Its totient is φ = 896256.

The previous prime is 3361301. The next prime is 3361327. The reversal of 3361320 is 231633.

It is a happy number.

3361320 is a `hidden beast` number, since 33 + 613 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 142884 = 1794^2 + 378^2 .

It is a super-3 number, since 3×33613203 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3361293 and 3361302.

It is not an unprimeable number, because it can be changed into a prime (3361327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4309 + ... + 5028.

Almost surely, 23361320 is an apocalyptic number.

3361320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3361320 is an abundant number, since it is smaller than the sum of its proper divisors (7564140).

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

3361320 is a wasteful number, since it uses less digits than its factorization.

3361320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3361320 is about 1833.3903021452. The cubic root of 3361320 is about 149.7970588899.

Adding to 3361320 its reverse (231633), we get a palindrome (3592953).

It can be divided in two parts, 33613 and 20, that added together give a palindrome (33633).

The spelling of 3361320 in words is "three million, three hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9337 18674 28011 37348 46685 56022 74696 84033 93370 112044 140055 168066 186740 224088 280110 336132 373480 420165 560220 672264 840330 1120440 1680660 3361320