Search a number
-
+
2433430020 = 2235729241829
BaseRepresentation
bin1001000100001011…
…0011001000000100
320021120221001102210
42101002303020010
514440424230040
61041244503420
7114205546110
oct22102631004
96246831383
102433430020
111039675a9a
1257ab4ab70
132ca1c1c28
14191282740
15e397b480
hex910b3204

2433430020 has 192 divisors, whose sum is σ = 8098675200. Its totient is φ = 534159360.

The previous prime is 2433430019. The next prime is 2433430039. The reversal of 2433430020 is 200343342.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2934966 + ... + 2935794.

It is an arithmetic number, because the mean of its divisors is an integer number (42180600).

Almost surely, 22433430020 is an apocalyptic number.

2433430020 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 2433430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049337600).

2433430020 is an abundant number, since it is smaller than the sum of its proper divisors (5665245180).

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

2433430020 is a wasteful number, since it uses less digits than its factorization.

2433430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2433430020 is about 49329.8086353475. The cubic root of 2433430020 is about 1345.0536906839.

Adding to 2433430020 its reverse (200343342), we get a palindrome (2633773362).

The spelling of 2433430020 in words is "two billion, four hundred thirty-three million, four hundred thirty thousand, twenty".