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2108034 = 23217832
BaseRepresentation
bin1000000010101010000010
310222002200100
420002222002
51014424114
6113103230
723626605
oct10025202
93862610
102108034
11120a885
12857b16
1358a676
143cc33c
152b9909
hex202a82

2108034 has 36 divisors (see below), whose sum is σ = 4895046. Its totient is φ = 653376.

The previous prime is 2108033. The next prime is 2108047. The reversal of 2108034 is 4308012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1550025 + 558009 = 1245^2 + 747^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2107998 and 2108016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25357 + ... + 25439.

22108034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447523).

2108034 is an abundant number, since it is smaller than the sum of its proper divisors (2787012).

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

2108034 is a wasteful number, since it uses less digits than its factorization.

2108034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2108034 is about 1451.9070218165. The cubic root of 2108034 is about 128.2210130219.

The spelling of 2108034 in words is "two million, one hundred eight thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 1411 1494 2822 4233 6889 8466 12699 13778 20667 25398 41334 62001 117113 124002 234226 351339 702678 1054017 2108034