Search a number
-
+
2354430000 = 24354136037
BaseRepresentation
bin1000110001010101…
…1100000000110000
320002002021102210010
42030111130000300
514310213230000
61025343334520
7112226216256
oct21425340060
96062242703
102354430000
11aa901811a
125585b1440
132b6a21a60
1418499a5d6
15dba73d50
hex8c55c030

2354430000 has 200 divisors, whose sum is σ = 8186417008. Its totient is φ = 579456000.

The previous prime is 2354429963. The next prime is 2354430007. The reversal of 2354430000 is 344532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (2354430007) 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 39 ways as a sum of consecutive naturals, for example, 386982 + ... + 393018.

Almost surely, 22354430000 is an apocalyptic number.

2354430000 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 2354430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093208504).

2354430000 is an abundant number, since it is smaller than the sum of its proper divisors (5831987008).

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

2354430000 is a wasteful number, since it uses less digits than its factorization.

2354430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2354430000 is about 48522.4690220933. The cubic root of 2354430000 is about 1330.3377889643.

Adding to 2354430000 its reverse (344532), we get a palindrome (2354774532).

The spelling of 2354430000 in words is "two billion, three hundred fifty-four million, four hundred thirty thousand".