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2649324 = 2232329331
BaseRepresentation
bin1010000110110011101100
311222121012010
422012303230
51134234244
6132441220
731342656
oct12066354
94877163
102649324
11154a527
12a79210
13719b62
144cd6d6
15374eb9
hex286cec

2649324 has 48 divisors (see below), whose sum is σ = 6693120. Its totient is φ = 813120.

The previous prime is 2649323. The next prime is 2649329. The reversal of 2649324 is 4239462.

2649324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 219 + 64 + 45 + 9 + 313 + 219 + 46 .

It is a junction number, because it is equal to n+sod(n) for n = 2649291 and 2649300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649323) 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 15 ways as a sum of consecutive naturals, for example, 7839 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (139440).

22649324 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 2649324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346560).

2649324 is an abundant number, since it is smaller than the sum of its proper divisors (4043796).

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

2649324 is a wasteful number, since it uses less digits than its factorization.

2649324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2649324 is about 1627.6744146174. The cubic root of 2649324 is about 138.3709824783.

The spelling of 2649324 in words is "two million, six hundred forty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 331 348 662 667 993 1324 1334 1986 2001 2668 3972 4002 7613 8004 9599 15226 19198 22839 28797 30452 38396 45678 57594 91356 115188 220777 441554 662331 883108 1324662 2649324