Search a number
-
+
3364713 = 331111329
BaseRepresentation
bin1100110101011101101001
320022221112000
430311131221
51330132323
6200041213
740412442
oct14653551
96287460
103364713
111998a60
121163209
1390a671
146382c9
15466e43
hex335769

3364713 has 16 divisors (see below), whose sum is σ = 5438400. Its totient is φ = 2039040.

The previous prime is 3364687. The next prime is 3364717. The reversal of 3364713 is 3174633.

It is a happy number.

3364713 is a `hidden beast` number, since 3 + 3 + 647 + 13 = 666.

It is not a de Polignac number, because 3364713 - 25 = 3364681 is a prime.

It is a super-2 number, since 2×33647132 = 22642587144738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3364717) 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, 5368 + ... + 5961.

It is an arithmetic number, because the mean of its divisors is an integer number (339900).

Almost surely, 23364713 is an apocalyptic number.

3364713 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3364713 is a deficient number, since it is larger than the sum of its proper divisors (2073687).

3364713 is a wasteful number, since it uses less digits than its factorization.

3364713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11349 (or 11343 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 3364713 is about 1834.3154036316. The cubic root of 3364713 is about 149.8474448989.

It can be divided in two parts, 33 and 64713, that added together give a palindrome (64746).

The spelling of 3364713 in words is "three million, three hundred sixty-four thousand, seven hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 11329 33987 101961 124619 305883 373857 1121571 3364713