Search a number
-
+
440400 = 24352367
BaseRepresentation
bin1101011100001010000
3211101010010
41223201100
5103043100
613234520
73512652
oct1534120
9741103
10440400
11280974
12192a40
131255bc
14b66d2
158a750
hex6b850

440400 has 60 divisors (see below), whose sum is σ = 1414592. Its totient is φ = 117120.

The previous prime is 440399. The next prime is 440431. The reversal of 440400 is 4044.

Adding to 440400 its reverse (4044), we get a palindrome (444444).

It can be divided in two parts, 4 and 40400, that added together give a palindrome (40404).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017 + ... + 1383.

2440400 is an apocalyptic number.

440400 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 440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707296).

440400 is an abundant number, since it is smaller than the sum of its proper divisors (974192).

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

440400 is a wasteful number, since it uses less digits than its factorization.

440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 440400 is about 663.6264009215. The cubic root of 440400 is about 76.0820904312.

The spelling of 440400 in words is "four hundred forty thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 367 400 600 734 1101 1200 1468 1835 2202 2936 3670 4404 5505 5872 7340 8808 9175 11010 14680 17616 18350 22020 27525 29360 36700 44040 55050 73400 88080 110100 146800 220200 440400