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2342000 = 24531171
BaseRepresentation
bin1000111011110001110000
311101222121202
420323301300
51044421000
6122110332
725622663
oct10736160
94358552
102342000
11135a641
1294b3a8
1363cccb
1444d6da
15313dd5
hex23bc70

2342000 has 40 divisors (see below), whose sum is σ = 5667792. Its totient is φ = 936000.

The previous prime is 2341993. The next prime is 2342003. The reversal of 2342000 is 2432.

2342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342003) 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 7 ways as a sum of consecutive naturals, for example, 1415 + ... + 2585.

22342000 is an apocalyptic number.

2342000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833896).

2342000 is an abundant number, since it is smaller than the sum of its proper divisors (3325792).

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

2342000 is a wasteful number, since it uses less digits than its factorization.

2342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2342000 is about 1530.3594349041. The cubic root of 2342000 is about 132.7992524272.

Adding to 2342000 its reverse (2432), we get a palindrome (2344432).

The spelling of 2342000 in words is "two million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1171 2000 2342 4684 5855 9368 11710 18736 23420 29275 46840 58550 93680 117100 146375 234200 292750 468400 585500 1171000 2342000