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2683674 = 232719259
BaseRepresentation
bin1010001111001100011010
312001100022100
422033030122
51141334144
6133304230
731545060
oct12171432
95040270
102683674
111573314
12a95076
1372c696
144dc030
15380269
hex28f31a

2683674 has 72 divisors (see below), whose sum is σ = 7132320. Its totient is φ = 714096.

The previous prime is 2683669. The next prime is 2683679. The reversal of 2683674 is 4763862.

2683674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2683669) and next prime (2683679).

It is a super-2 number, since 2×26836742 = 14404212276552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 215 + 63 + 8 + 313 + 65 + 7 + 410 .

Its product of digits (48384) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (2683679) 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 35 ways as a sum of consecutive naturals, for example, 45457 + ... + 45515.

It is an arithmetic number, because the mean of its divisors is an integer number (99060).

22683674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2683674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566160).

2683674 is an abundant number, since it is smaller than the sum of its proper divisors (4448646).

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

2683674 is a wasteful number, since it uses less digits than its factorization.

2683674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2683674 is about 1638.1922964048. The cubic root of 2683674 is about 138.9664360069.

The spelling of 2683674 in words is "two million, six hundred eighty-three thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 59 63 114 118 126 133 171 177 266 342 354 361 399 413 531 722 798 826 1062 1083 1121 1197 1239 2166 2242 2394 2478 2527 3249 3363 3717 5054 6498 6726 7434 7581 7847 10089 15162 15694 20178 21299 22743 23541 42598 45486 47082 63897 70623 127794 141246 149093 191691 298186 383382 447279 894558 1341837 2683674