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2034 = 232113
BaseRepresentation
bin11111110010
32210100
4133302
531114
613230
75634
oct3762
92710
102034
11158a
121216
13c06
14a54
15909
hex7f2

2034 has 12 divisors (see below), whose sum is σ = 4446. Its totient is φ = 672.

The previous prime is 2029. The next prime is 2039. The reversal of 2034 is 4302.

Adding to 2034 its reverse (4302), we get a palindrome (6336).

2034 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (2029) and next prime (2039).

It can be written as a sum of positive squares in only one way, i.e., 2025 + 9 = 45^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

2034 is an undulating number in base 15.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39 + ... + 74.

22034 is an apocalyptic number.

2034 is an abundant number, since it is smaller than the sum of its proper divisors (2412).

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

2034 is a wasteful number, since it uses less digits than its factorization.

2034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2034 is about 45.0998891351. The cubic root of 2034 is about 12.6702052287.

The spelling of 2034 in words is "two thousand, thirty-four", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034