Search a number
-
+
2044000440 = 2333517163683
BaseRepresentation
bin111100111010100…
…1111100010111000
312021110010222111000
41321311033202320
513141231003230
6534454005000
7101436500646
oct17165174270
95243128430
102044000440
1195986a869
12490646760
13267611a21
14155670196
15be6a4b60
hex79d4f8b8

2044000440 has 256 divisors, whose sum is σ = 7269004800. Its totient is φ = 509110272.

The previous prime is 2044000391. The next prime is 2044000447. The reversal of 2044000440 is 440004402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044000447) 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, 2992339 + ... + 2993021.

It is an arithmetic number, because the mean of its divisors is an integer number (28394550).

Almost surely, 22044000440 is an apocalyptic number.

2044000440 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 2044000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634502400).

2044000440 is an abundant number, since it is smaller than the sum of its proper divisors (5225004360).

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

2044000440 is a wasteful number, since it uses less digits than its factorization.

2044000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2044000440 is about 45210.6230879425. The cubic root of 2044000440 is about 1269.0936224094.

Adding to 2044000440 its reverse (440004402), we get a palindrome (2484004842).

The spelling of 2044000440 in words is "two billion, forty-four million, four hundred forty", and thus it is an aban number.