Search a number
-
+
3036933 = 3437493
BaseRepresentation
bin1011100101011100000101
312201021220000
423211130011
51234140213
6145031513
734546014
oct13453405
95637800
103036933
111794769
121025599
13824403
14590a7b
153eec73
hex2e5705

3036933 has 10 divisors (see below), whose sum is σ = 4536774. Its totient is φ = 2024568.

The previous prime is 3036919. The next prime is 3036937. The reversal of 3036933 is 3396303.

3036933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2259009 + 777924 = 1503^2 + 882^2 .

It is a de Polignac number, because none of the positive numbers 2k-3036933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3036897 and 3036906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3036937) 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 9 ways as a sum of consecutive naturals, for example, 18666 + ... + 18827.

Almost surely, 23036933 is an apocalyptic number.

It is an amenable number.

3036933 is a deficient number, since it is larger than the sum of its proper divisors (1499841).

3036933 is an equidigital number, since it uses as much as digits as its factorization.

3036933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37505 (or 37496 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 3036933 is about 1742.6798329010. The cubic root of 3036933 is about 144.8143958958.

It can be divided in two parts, 3036 and 933, that added together give a square (3969 = 632).

The spelling of 3036933 in words is "three million, thirty-six thousand, nine hundred thirty-three".

Divisors: 1 3 9 27 81 37493 112479 337437 1012311 3036933