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2368134 = 2321771109
BaseRepresentation
bin1001000010001010000110
311110022110200
421002022012
51101240014
6122431330
726062116
oct11021206
94408420
102368134
11137823a
12962546
1364bb82
14459046
1531ba09
hex242286

2368134 has 48 divisors (see below), whose sum is σ = 5559840. Its totient is φ = 725760.

The previous prime is 2368129. The next prime is 2368153. The reversal of 2368134 is 4318632.

2368134 = 902 + 912 + ... + 1982.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2368098 and 2368107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21672 + ... + 21780.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

22368134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2368134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779920).

2368134 is an abundant number, since it is smaller than the sum of its proper divisors (3191706).

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

2368134 is a wasteful number, since it uses less digits than its factorization.

2368134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2368134 is about 1538.8742638695. The cubic root of 2368134 is about 133.2913881948.

The spelling of 2368134 in words is "two million, three hundred sixty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 109 142 153 213 218 306 327 426 639 654 981 1207 1278 1853 1962 2414 3621 3706 5559 7242 7739 10863 11118 15478 16677 21726 23217 33354 46434 69651 131563 139302 263126 394689 789378 1184067 2368134