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2338084 = 227279151
BaseRepresentation
bin1000111010110100100100
311101210020201
420322310210
51044304314
6122040244
725605400
oct10726444
94353221
102338084
111357701
12949084
1363b2a8
1444c100
15312b74
hex23ad24

2338084 has 36 divisors (see below), whose sum is σ = 4851840. Its totient is φ = 982800.

The previous prime is 2338081. The next prime is 2338093. The reversal of 2338084 is 4808332.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 27 + 310 + 311 + 83 + 0 + 87 + 46 .

It is not an unprimeable number, because it can be changed into a prime (2338081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15409 + ... + 15559.

22338084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2338084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425920).

2338084 is an abundant number, since it is smaller than the sum of its proper divisors (2513756).

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

2338084 is a wasteful number, since it uses less digits than its factorization.

2338084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2338084 is about 1529.0794616370. The cubic root of 2338084 is about 132.7251943584.

The spelling of 2338084 in words is "two million, three hundred thirty-eight thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 79 98 151 158 196 302 316 553 604 1057 1106 2114 2212 3871 4228 7399 7742 11929 14798 15484 23858 29596 47716 83503 167006 334012 584521 1169042 2338084