Search a number
-
+
441031360 = 26572112557
BaseRepresentation
bin11010010010011…
…001101011000000
31010201212201021211
4122102121223000
51400401000420
6111432455504
713633463500
oct3222315300
91121781254
10441031360
11206a50430
1210384a594
13704a9703
1442805a00
1528abae5a
hex1a499ac0

441031360 has 168 divisors, whose sum is σ = 1333250064. Its totient is φ = 137410560.

The previous prime is 441031343. The next prime is 441031361. The reversal of 441031360 is 63130144.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441031361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171202 + ... + 173758.

Almost surely, 2441031360 is an apocalyptic number.

441031360 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 441031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666625032).

441031360 is an abundant number, since it is smaller than the sum of its proper divisors (892218704).

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

441031360 is a wasteful number, since it uses less digits than its factorization.

441031360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 441031360 is about 21000.7466533931. The cubic root of 441031360 is about 761.1843031339.

It can be divided in two parts, 4410 and 31360, that multiplied together give a square (138297600 = 117602).

The spelling of 441031360 in words is "four hundred forty-one million, thirty-one thousand, three hundred sixty".