Search a number
-
+
44104320 = 27325131931
BaseRepresentation
bin1010100000111…
…1101010000000
310001222201202100
42220033222000
542242314240
64213150400
71043611011
oct250175200
9101881670
1044104320
1122994257
121292b400
1391a2a40
145c01008
153d12e30
hex2a0fa80

44104320 has 384 divisors, whose sum is σ = 178214400. Its totient is φ = 9953280.

The previous prime is 44104309. The next prime is 44104327. The reversal of 44104320 is 2340144.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 44104293 and 44104302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44104327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422705 + ... + 1422735.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 244104320 is an apocalyptic number.

44104320 is a gapful number since it is divisible by the number (40) 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 44104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

44104320 is an abundant number, since it is smaller than the sum of its proper divisors (134110080).

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

44104320 is a wasteful number, since it uses less digits than its factorization.

44104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44104320 is about 6641.1083412334. The cubic root of 44104320 is about 353.3136178232.

Adding to 44104320 its reverse (2340144), we get a palindrome (46444464).

The spelling of 44104320 in words is "forty-four million, one hundred four thousand, three hundred twenty".