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2664376 = 23111317137
BaseRepresentation
bin1010001010011110111000
312000100211121
422022132320
51140230001
6133035024
731434601
oct12123670
95010747
102664376
11155a870
12a85a74
13723970
144d4da8
153796a1
hex28a7b8

2664376 has 64 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 1044480.

The previous prime is 2664367. The next prime is 2664379. The reversal of 2664376 is 6734662.

2664376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664379) 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, 19380 + ... + 19516.

22664376 is an apocalyptic number.

2664376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840).

2664376 is an abundant number, since it is smaller than the sum of its proper divisors (3595304).

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

2664376 is a wasteful number, since it uses less digits than its factorization.

2664376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 2664376 is about 1632.2916406084. The cubic root of 2664376 is about 138.6325370064.

The spelling of 2664376 in words is "two million, six hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 137 143 187 221 274 286 374 442 548 572 748 884 1096 1144 1496 1507 1768 1781 2329 2431 3014 3562 4658 4862 6028 7124 9316 9724 12056 14248 18632 19448 19591 25619 30277 39182 51238 60554 78364 102476 121108 156728 204952 242216 333047 666094 1332188 2664376