Search a number
-
+
2342201504 = 25234217559
BaseRepresentation
bin1000101110011011…
…0010100010100000
320001020021011102212
42023212302202200
514244100422004
61024225301252
7112020245546
oct21346624240
96036234385
102342201504
11aa2125725
12554494828
132b432ca66
141830d5d96
15da95a96e
hex8b9b28a0

2342201504 has 48 divisors (see below), whose sum is σ = 4823763840. Its totient is φ = 1117374720.

The previous prime is 2342201489. The next prime is 2342201507. The reversal of 2342201504 is 4051022432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2342201504.

It is not an unprimeable number, because it can be changed into a prime (2342201507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306077 + ... + 313635.

It is an arithmetic number, because the mean of its divisors is an integer number (100495080).

Almost surely, 22342201504 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 2342201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411881920).

2342201504 is an abundant number, since it is smaller than the sum of its proper divisors (2481562336).

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

2342201504 is a wasteful number, since it uses less digits than its factorization.

2342201504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2342201504 is about 48396.2963872237. The cubic root of 2342201504 is about 1328.0306096878.

Adding to 2342201504 its reverse (4051022432), we get a palindrome (6393223936).

The spelling of 2342201504 in words is "two billion, three hundred forty-two million, two hundred one thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 421 736 842 1684 3368 6736 7559 9683 13472 15118 19366 30236 38732 60472 77464 120944 154928 173857 241888 309856 347714 695428 1390856 2781712 3182339 5563424 6364678 12729356 25458712 50917424 73193797 101834848 146387594 292775188 585550376 1171100752 2342201504