Search a number
-
+
438944940 = 223357253313
BaseRepresentation
bin11010001010011…
…100010010101100
31010120221201021000
4122022130102230
51344332214230
6111320040300
713606653600
oct3212342254
91116851230
10438944940
11205855915
12103003090
136cc28b45
1442421500
1528807b60
hex1a29c4ac

438944940 has 288 divisors, whose sum is σ = 1623706560. Its totient is φ = 98122752.

The previous prime is 438944921. The next prime is 438944941. The reversal of 438944940 is 49449834.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438944941) 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 95 ways as a sum of consecutive naturals, for example, 1402224 + ... + 1402536.

It is an arithmetic number, because the mean of its divisors is an integer number (5637870).

Almost surely, 2438944940 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 438944940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811853280).

438944940 is an abundant number, since it is smaller than the sum of its proper divisors (1184761620).

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

438944940 is a wasteful number, since it uses less digits than its factorization.

438944940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 438944940 is about 20951.0128633439. The cubic root of 438944940 is about 759.9820748311.

The spelling of 438944940 in words is "four hundred thirty-eight million, nine hundred forty-four thousand, nine hundred forty".