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2663934 = 2372131741
BaseRepresentation
bin1010001010010111111110
312000100020020
422022113332
51140221214
6133033010
731433400
oct12122776
95010206
102663934
11155a4a9
12a85766
137236c0
144d4b70
153794a9
hex28a5fe

2663934 has 96 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 645120.

The previous prime is 2663897. The next prime is 2663953. The reversal of 2663934 is 4393662.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2663895 and 2663904.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64954 + ... + 64994.

It is an arithmetic number, because the mean of its divisors is an integer number (75411).

22663934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2663934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728).

2663934 is an abundant number, since it is smaller than the sum of its proper divisors (4575522).

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

2663934 is a wasteful number, since it uses less digits than its factorization.

2663934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 2663934 is about 1632.1562425209. The cubic root of 2663934 is about 138.6248705497.

The spelling of 2663934 in words is "two million, six hundred sixty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 41 42 49 51 78 82 91 98 102 119 123 147 182 221 238 246 273 287 294 357 442 533 546 574 637 663 697 714 833 861 1066 1274 1326 1394 1547 1599 1666 1722 1911 2009 2091 2499 3094 3198 3731 3822 4018 4182 4641 4879 4998 6027 7462 9061 9282 9758 10829 11193 12054 14637 18122 21658 22386 26117 27183 29274 32487 34153 52234 54366 63427 64974 68306 78351 102459 126854 156702 190281 204918 380562 443989 887978 1331967 2663934