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2724030 = 23551959
BaseRepresentation
bin1010011001000010111110
312010101200000
422121002332
51144132110
6134215130
732103531
oct12310276
95111600
102724030
1115a0671
12ab44a6
13744b6a
1450ca18
1538c1c0
hex2990be

2724030 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 676512.

The previous prime is 2724013. The next prime is 2724031. The reversal of 2724030 is 304272.

It is a happy number.

2724030 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 (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2723994 and 2724012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724031) 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 47 ways as a sum of consecutive naturals, for example, 46141 + ... + 46199.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22724030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2724030 is an abundant number, since it is smaller than the sum of its proper divisors (5138370).

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

2724030 is a wasteful number, since it uses less digits than its factorization.

2724030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2724030 is about 1650.4635712429. The cubic root of 2724030 is about 139.6595469043.

The spelling of 2724030 in words is "two million, seven hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 59 81 90 95 114 118 135 162 171 177 190 243 270 285 295 342 354 405 486 513 531 570 590 810 855 885 1026 1062 1121 1215 1539 1593 1710 1770 2242 2430 2565 2655 3078 3186 3363 4617 4779 5130 5310 5605 6726 7695 7965 9234 9558 10089 11210 14337 15390 15930 16815 20178 23085 23895 28674 30267 33630 46170 47790 50445 60534 71685 90801 100890 143370 151335 181602 272403 302670 454005 544806 908010 1362015 2724030