Search a number
-
+
2667324 = 223113167
BaseRepresentation
bin1010001011001100111100
312000111212210
422023030330
51140323244
6133100420
731446312
oct12131474
95014783
102667324
111562000
12a87710
137250ca
144d60b2
1537a4b9
hex28b33c

2667324 has 48 divisors (see below), whose sum is σ = 6886656. Its totient is φ = 803440.

The previous prime is 2667319. The next prime is 2667341. The reversal of 2667324 is 4237662.

2667324 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 2×26673242 = 14229234641952, which contains 22 as substring.

It is a d-powerful number, because it can be written as 219 + 63 + 65 + 72 + 313 + 219 + 47 .

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2667291 and 2667300.

It is a congruent number.

It is an unprimeable number.

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, 15889 + ... + 16055.

It is an arithmetic number, because the mean of its divisors is an integer number (143472).

22667324 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 2667324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443328).

2667324 is an abundant number, since it is smaller than the sum of its proper divisors (4219332).

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

2667324 is a wasteful number, since it uses less digits than its factorization.

2667324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 2667324 is about 1633.1944158611. The cubic root of 2667324 is about 138.6836481710.

The spelling of 2667324 in words is "two million, six hundred sixty-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 167 242 334 363 484 501 668 726 1002 1331 1452 1837 2004 2662 3674 3993 5324 5511 7348 7986 11022 15972 20207 22044 40414 60621 80828 121242 222277 242484 444554 666831 889108 1333662 2667324