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4342000 = 245313167
BaseRepresentation
bin10000100100000011110000
322011121002211
4100210003300
52102421000
6233021504
751622615
oct20440360
98147084
104342000
1124a6233
121554894
13b90440
1481050c
155ab7ba
hex4240f0

4342000 has 80 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1593600.

The previous prime is 4341991. The next prime is 4342007. The reversal of 4342000 is 2434.

4342000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25917 + ... + 26083.

Almost surely, 24342000 is an apocalyptic number.

4342000 is a gapful number since it is divisible by the number (40) 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 4342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

4342000 is an abundant number, since it is smaller than the sum of its proper divisors (7032272).

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

4342000 is a wasteful number, since it uses less digits than its factorization.

4342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4342000 is about 2083.7466256721. The cubic root of 4342000 is about 163.1410574662.

Adding to 4342000 its reverse (2434), we get a palindrome (4344434).

The spelling of 4342000 in words is "four million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 167 200 208 250 260 325 334 400 500 520 650 668 835 1000 1040 1300 1336 1625 1670 2000 2171 2600 2672 3250 3340 4175 4342 5200 6500 6680 8350 8684 10855 13000 13360 16700 17368 20875 21710 26000 33400 34736 41750 43420 54275 66800 83500 86840 108550 167000 173680 217100 271375 334000 434200 542750 868400 1085500 2171000 4342000