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2434201000 = 2353711101313
BaseRepresentation
bin1001000100010110…
…1111010110101000
320021122101020000121
42101011233112220
514441123413000
61041313213024
7114215236630
oct22105572650
96248336017
102434201000
11103a052270
1257b261174
132ca401b2a
141914036c0
15e3a7eb1a
hex9116f5a8

2434201000 has 256 divisors, whose sum is σ = 7194769920. Its totient is φ = 748800000.

The previous prime is 2434200961. The next prime is 2434201001. The reversal of 2434201000 is 1024342.

It is not an unprimeable number, because it can be changed into a prime (2434201001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7776844 + ... + 7777156.

It is an arithmetic number, because the mean of its divisors is an integer number (28104570).

Almost surely, 22434201000 is an apocalyptic number.

2434201000 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 2434201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597384960).

2434201000 is an abundant number, since it is smaller than the sum of its proper divisors (4760568920).

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

2434201000 is a wasteful number, since it uses less digits than its factorization.

2434201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2434201000 is about 49337.6225612868. The cubic root of 2434201000 is about 1345.1957261355.

Adding to 2434201000 its reverse (1024342), we get a palindrome (2435225342).

The spelling of 2434201000 in words is "two billion, four hundred thirty-four million, two hundred one thousand".