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2338002 = 232193673
BaseRepresentation
bin1000111010110011010010
311101210010200
420322303102
51044304002
6122040030
725605222
oct10726322
94353120
102338002
111357637
12949016
1363b244
1444c082
15312b1c
hex23acd2

2338002 has 24 divisors (see below), whose sum is σ = 5099484. Its totient is φ = 774144.

The previous prime is 2337983. The next prime is 2338003. The reversal of 2338002 is 2008332.

2338002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2223081 + 114921 = 1491^2 + 339^2 .

It is a super-3 number, since 3×23380023 = 38340333808476168024, which contains 333 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2338003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3138 + ... + 3810.

22338002 is an apocalyptic number.

2338002 is an abundant number, since it is smaller than the sum of its proper divisors (2761482).

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

2338002 is a wasteful number, since it uses less digits than its factorization.

2338002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2338002 is about 1529.0526478836. The cubic root of 2338002 is about 132.7236427185.

It can be divided in two parts, 23 and 38002, that added together give a square (38025 = 1952).

The spelling of 2338002 in words is "two million, three hundred thirty-eight thousand, two".

Divisors: 1 2 3 6 9 18 193 386 579 673 1158 1346 1737 2019 3474 4038 6057 12114 129889 259778 389667 779334 1169001 2338002