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2330034 = 237291913
BaseRepresentation
bin1000111000110110110010
311101101012120
420320312302
51044030114
6121535110
725543050
oct10706662
94341176
102330034
111351653
12944496
13637725
144491d0
153105a9
hex238db2

2330034 has 32 divisors (see below), whose sum is σ = 5512320. Its totient is φ = 642432.

The previous prime is 2330021. The next prime is 2330047. The reversal of 2330034 is 4300332.

2330034 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 (2330021) and next prime (2330047).

It is a junction number, because it is equal to n+sod(n) for n = 2329995 and 2330022.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 262 + ... + 2174.

It is an arithmetic number, because the mean of its divisors is an integer number (172260).

22330034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756160).

2330034 is an abundant number, since it is smaller than the sum of its proper divisors (3182286).

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

2330034 is a wasteful number, since it uses less digits than its factorization.

2330034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954.

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2330034 is about 1526.4448892770. Note that the first 3 decimals coincide. The cubic root of 2330034 is about 132.5726953645.

Adding to 2330034 its reverse (4300332), we get a palindrome (6630366).

The spelling of 2330034 in words is "two million, three hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 1913 3826 5739 11478 13391 26782 40173 55477 80346 110954 166431 332862 388339 776678 1165017 2330034